How Many Fridays Are In A Year
Hint- Here, we will be using the general formula for probability of occurrence of an event. Here, we will be finding out how exactly we will be able to obtain 53 Fridays in a leap year which consists of 52 weeks and 2 days. As we know that in a leap year, there are 366 days and 7 days is equivalent to 1 week.

Clearly $366 = 364 + 2 = \left( \right) + 2 = $52 weeks and 2 days. So, a leap year consists of 52 weeks and 2 days. In these 52 weeks, there will be 52 Fridays. Hence, the occurrence of 53 Fridays will completely depend on the 2 days left. According to the general formula for probability in given by Probability of occurrence of an event$ = \dfrac }}} }}} } \to }$ Here, the favourable event is the occurrence of Friday in any of the two days left.

All the possible cases of the remaining two days are Monday and Tuesday, Tuesday and Wednesday, Wednesday and Thursday, Thursday and Friday, Friday and Saturday, Saturday and Sunday, Sunday and Monday. Total number of possible outcomes=7 Here, favourable outcomes will count only those cases out of all the possible outcomes in which there is Friday occurring i.e., Thursday and Friday, Friday and Saturday only.

How many Fridays are in a month?

First Day of the Month – The weekday combinations these 823-year messages refer to aren’t exceptional either. A quick look at a calendar will show that the first 3 weekdays of any 31-day month will be repeated 5 times in that month. So, any month that has 31 days and begins on a Friday will have 5 Fridays, 5 Saturdays, and 5 Sundays.

How many Friday and Sunday are there in a year?

Weekend means Saturday & Sunday together. In total we have 52 weeks in a year. So there are 52 weekends in a year. In normal we have 104 Weekend Days. We know that a Each normal year has 365 days or 52 weeks plus one day, and each week has two weekend days, which means there are approximately 104 weekend days each year.

How much Saturdays are in a year?

During 2023 we will be able to enjoy: 52 weekends.52 Saturdays.53 Sundays.

How many Thursdays are there in 1 year?

Total number of thursday in thr present year will be 52.

Can there be 53 Fridays in a year?

So, a leap year consists of 52 weeks and 2 days. In these 52 weeks, there will be 52 Fridays. Hence, the occurrence of 53 Fridays will completely depend on the 2 days left.

How many Fridays the 13th are in a year?

The Gregorian calendar follows a pattern of leap years which repeats every 400 years. This is true since the number of days in 400 Gregorian years is which is an exact number of weeks since it is divisible by 7 (namely, ). There are 4,800 months in 400 years, so the 13th of the month occurs 4,800 times in this interval. The number of times the 13th occurs on each weekday is given in the table below. As shown by Brown (1933), the thirteenth of the month is slightly more likely to be on a Friday than on any other day.

day number of 13s fraction
Sunday 687 14.31%
Monday 685 14.27%
Tuesday 685 14.27%
Wednesday 687 14.31%
Thursday 684 14.25%
Friday 688 14.33%
Saturday 684 14.25%

On average, there are 1.72 ( ) Friday the 13ths per calendar year. The following table summarizes Friday the 13ths for years between 2000 and 2010.

year months having Friday the 13th
2000 October
2001 April, July
2002 September, December
2003 June
2004 February, August
2005 May
2006 January, October
2007 April, July
2008 June
2009 February, March, November
2010 August

The following Mathematica code can be used to generate the counts of the number of times a given weekday occurs., TableHeadings->,None } ] Weekday Ball, W.W.R. and Coxeter, H.S.M. Mathematical Recreations and Essays, 13th ed. New York: Dover, p.27, 1987. Brown, B.H. “Solution to Problem E36.” Amer. Math. Monthly 40, 607, 1933. Parzen, E. Modern Probability Theory and Its Applications. New York: Wiley, pp.26-27, 1960. Press, W.H.; Flannery, B.P.; Teukolsky, S.A.; and Vetterling, W.T. Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed. Cambridge, England: Cambridge University Press, pp.14-15, 1992. © 1996-2007 Eric W. Weisstein

Is there always a Friday the 13th every year?

Frequency within a single year – There can be no more than three Friday the 13ths in a single calendar year; either in February, March, and November in a common year starting on Thursday (such as 2009, 2015, or 2026) (D), or January, April, and July in a leap year starting on Sunday (such as 1984, 2012, or 2040) (AG),

  • In the 2000s, there were three Friday the 13ths in 2009, and two Friday the 13ths in 2001, 2002, 2006, and 2007.
  • In the 2010s, there were three Friday the 13ths in 2012 and 2015, and two in 2013, 2017, 2018, and 2019.
  • In the 2020s, there were two Friday the 13ths in 2020.
  • There will also be three Friday the 13ths in 2026, and two in 2023, 2024, and 2029.

The remaining years all have at least one Friday the 13th. For the details see the table below; this table is for the Gregorian calendar and Jan / Feb for leap years :

Year modulo 28 1600 2000 1700 2100 1800 2200 1900 2300 Year modulo 28
00 06     17 23 Jan Oct Feb Aug Jun Jan Apr Jul 00 06     17 23
01 07 12 18     Jan Apr Jul May Feb Mar Nov Sep Dec 01 07 12 18    
02     13 19 24 Sep Dec Jan Oct Feb Aug Jun 02     13 19 24
03 08 14     25 Jun Jan Apr Jul May Feb Mar Nov 03 08 14     25
    09 15 20 26 Feb Mar Nov Sep Dec Jan Oct Feb Aug     09 15 20 26
04 10     21 27 Feb Aug Jun Jan Apr Jul May 04 10     21 27
05 11 16 22     May Feb Mar Nov Sep Dec Jan Oct 05 11 16 22    
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Are there 2 Friday the 13th every year?

1. It happens every year – This year, we have two days that are Friday the 13th — Jan.13 and Oct.13. We had only one Friday the 13th last year in 2022 — on May 13. Next year, Friday the 13th won’t arrive until Sept.13 and Dec.13, 2024. A standard year (not a leap year) can have up to three such Fridays if the year starts on a Thursday.

How many weekdays in a year?

On average, there are 104.1 weekend days per year based on the years 2023 – 2032. There are always between 102 – 106 weekend days in a given year. – We define a weekend day as Saturday and Sunday. Here are the weekend days per year for the next decade:

  • 2023: 105
  • 2024: 102
  • 2025: 104
  • 2026: 104
  • 2027: 104
  • 2028: 106
  • 2029: 104
  • 2030: 104
  • 2031: 104
  • 2032: 104

How many Mondays are there in a year?

Free General Awareness Sectional Test 1 40 Questions 40 Marks 15 Mins There are 365 days in a year = 364 + 1 day 364/ 7 = 52 There will be 52 weeks and there will be 52 Mondays generally. Since, the remaining day i.e., the last day is also a Monday, there will be 53 Mondays.

  • Hence, “53” is the correct answer.
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How many Tuesdays are there in a year?

Answer (Detailed Solution Below) – Option 1 : 53 As there are 52 weeks and 1 day in a non-leap year and 52 weeks and 2 days in a leap year. Thus, there can be definitely maximum 53 Tuesdays in a year. Get proficient with the Logical Reasoning concepts with detailed lessons on the topic Clock and Calendar among many others.

Which day comes 53 times in the year?

Hint- In this question we need to find the probability that a non-leap year has 53 days, so a leap year is one which has 366 days instead of a normal year which has only 365 days. So use this concept along with the concept of probability to obtain the answer.

Now we have to find the probability that a non-leap year has 53 Sundays. So, As we know that a non-leap year has 365 days also there are 7 days in a week. Since a non-leap year has 365 days and a week has in total 7 days, so let’s compute the number of weeks in a non-leap year, hence it will be 365 divided by 7 So when we divide 365 by 7 we get 52 as quotient and 1 as remainder.

So, there are 52 weeks and 1 extra day. So, there will be only one such day out of 7 which will occur for 53 times in a non-leap year. We have to find the probability that the day which occurs 53 times is Sunday. Let A be an event of getting 53 Sundays in a non-leap year.

  1. So n(A)=1.
  2. 1) Since a week has only 7 days, and we are considering one Sunday out of these 7 days hence the total number of outcomes will be 7.
  3. So n(S) = 7.
  4. 2) As we know that probability is defined as the number of favourable outcomes divided by the number of Total Outcomes, that is $ }\dfrac } }$ So putting values in the above formula using equation (1) and equation (2) we get $\dfrac $.

Thus the probability that a non-leap year has 53 Sundays is $\dfrac $. Note- To solve these types of questions we must remember that a non-leap year has 365 days. Then when we compute the remainder of 365 divided by 7 we get one. So, we get to know that only one day will repeat for 53 times.

Do all months have 4 Thursdays?

Next post Previous post October 20, 2021 at 11:51 PM by Dr. Drang A couple of weeks ago, this question from ldebritto appeared in the Automators forum: I was looking for a way to have Shortcuts peek into last month’s calendar and count how many Thursdays were that month (4 or 5).

  • Any ideas on how to make it? Stephen Millard, who posts there under the name sylumer, answered the question with a straightforward shortcut that loops through the days of last month, counting the Thursdays it meets along the way.
  • It’s the kind of solution I employ often: a brute force approach that can be written quickly and uses looping instead of excessive cleverness.

And in this case, since there can’t be more than 31 trips around the loop, it will run extremely fast. It’s a good solution. But it nagged at me. This blog has a long history of showing calendrical calculations, and I had written a post on a similar problem (finding months with five Fridays, Saturdays, and Sundays) eleven years ago.

The scripts in that post had some brute force aspects, but they also took advantage of how months are structured to filter the loops. I wanted to do something similar for the “how many Thursdays” problem. As ldebritto said in his question, every month has either four or five Thursdays (indeed, four or five of any weekday).

Whether it’s four or five depends on the number of days in the month and the date of the first Thursday of the month. We’ll consider each of these pieces of information and how they affect the answer. Since every month has 28–31 days, we know that each month has four weeks plus 0–3 “extra” days.

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The first Thursday of September 2021 was on the 2nd, and there are 2 extra days in September. Since 2 ≤ 2, there were five Thursdays that month. The first Thursday of August 2021 was on the 5th, and there are 3 extra days in August. Since 5 ≰ 2, there were four Thursdays that month.

The logic is simple, but implementing it in Shortcuts takes a little effort because there’s no “date of the first Thursday” function. Instead, we’ll figure out how many days from the first of the month to the first Thursday. And because this is one less than the date of the first Thursday the “less than or equal to” comparison we used above will turn into a simple “less than” comparison.

Step Action Comment
1 How Many Fridays Are In A Year Get the current date
2 How Many Fridays Are In A Year Move to the start of this month. We call this magic variable StartOfThisMonth,
3 How Many Fridays Are In A Year Go back one month. We call this magic variable StartOfLastMonth,
4 How Many Fridays Are In A Year Get the number of days between StartOfLastMonth and StartOfThisMonth, which is the length of last month.
5 How Many Fridays Are In A Year Get the number of days over 4 weeks in last month. We call this magic variable ExtraDaysInMonth,
6 How Many Fridays Are In A Year Format StartOfLastMonth with the c code, which gives the day of the week as a number from 1 (Sunday in my locale) to 7 (Saturday).
7 How Many Fridays Are In A Year This is where we do the modulo arithmetic to get the number of days from the start of last month to last month’s first Thursday. We call this magic variable DaysToFirstThursday,
8 How Many Fridays Are In A Year If this is true
9 How Many Fridays Are In A Year Return 5.
10 How Many Fridays Are In A Year Otherwise
11 How Many Fridays Are In A Year Return 4.
12 How Many Fridays Are In A Year End If block.
13 How Many Fridays Are In A Year Show the answer.

The only tricky parts here are Steps 6 and 7. Custom date formatting patterns in Shortcuts follow Unicode Technical Standard #35, where c will give the day of the week as a digit from 1 to 7. In my locale Day 1 is Sunday and Day 7 is Saturday; it may be different where you live.

  1. Step 7 uses the number we got in Step 6 and calculates the number of days from the start of the month to the first Thursday.
  2. This involves modulo 7 arithmetic, so the first thing we have to do is subtract 1 from the Step 6 result.
  3. Numbers in mod 7 go from 0 to 6, not 1 to 7.
  4. After subtraction, we’re in a day numbering system where Thursday is 4.

To get the number of days from the start of the month to the first Thursday, we subtract the weekday number from 4, add 7 (to force a positive result), and then get the remainder ( mod ) after dividing by 7. Let’s do a couple of examples. If I run the shortcut today, last month is September 2021, which started on a Wednesday.

  • Step 6 returns 4, and Step 7 returns (4 – (4 – 1) + 7) mod 7 = (4 – 3 + 7) mod 7 = 8 mod 7 = 1 which makes sense, as there’s one day from the start of September 2021 to the first Thursday of the month.
  • If you’re wondering why we bothered adding 7 and doing the mod stuff—why not just do 4 – (4 – 1) = 1?—think of what happens when we run the shortcut next month.

October 2021 starts on a Friday. Step 6 returns 6, and Step 7 returns (4 – (6 – 1) + 7) mod 7 = (4 – 5 + 7) mod 7 = 6 mod 7 = 6 and there are, in fact, 6 days from the start of October 2021 to the first Thursday of the month. Here, without the + 7 we would have gotten a result of -1 which is not the number of days from the start of October to its first Thursday.

  1. By including the + 7 and mod 7 terms, we have an equation that handles all cases.
  2. This is not nearly as easy to understand as Stephen Millard’s solution, so I didn’t post it to the forum.
  3. On the other hand, his solution didn’t exercise my modulo muscles.
  4. By the way, it didn’t take me two weeks to work this out.

I had the shortcut written the day of the question, but I soon learned that my splitflow script for creating the table of Shortcuts steps you see above was broken. The Shortcuts team changed the look of the app, and the computer vision functions that splitflow uses weren’t able to figure out the top and bottom boundaries of the steps.

Why is there 265 days in a year?

Why do we have leap years? – A year is the amount of time it takes a planet to orbit its star one time. A day is the amount of time it takes a planet to finish one rotation on its axis. Credit: NASA/JPL-Caltech It takes Earth approximately 365 days and 6 hours to orbit the Sun. It takes Earth approximately 24 hours — 1 day — to rotate on its axis. So, our year is not an exact number of days. Because of that, most years, we round the days in a year down to 365.

Year Days in Year Leap Year?
2017 365 No
2018 365 No
2019 365 No
2020 366 Yes

Because we’ve subtracted approximately 6 hours — or ¼ of a day — from 2017, 2018 and 2019, we have to make up that time in 2020. That’s why we have leap day!

Why is there 5 extra days in a year?

Nearly every four years, we add an extra day to the calendar in the form of February 29, also known as Leap Day. Put simply, these additional 24 hours are built into the calendar to ensure that it stays in line with the Earth’s movement around the Sun.

What years are leap year?

What is a leap year? – To be a leap year, the year number must be divisible by four – except for end-of-century years, which must be divisible by 400. This means that the year 2000 was a leap year, although 1900 was not.2024, 2028, 2032 and 2036 are all leap years.

Which year has 53 Fridays?

If the year starts on a Friday in a non-leap year, like 2021, you end up with 53 Fridays. (If either of the first two days lands on a Friday during a leap year, then you can also get 53 Fridays).

What is Friday the 13th 2023 called?

Contribute to this page – Suggest an edit or add missing content By what name was Friday the 13th: The Awakening (2023) officially released in Canada in English? Answer

Is there a Friday the 13th in 2025?

When is the Next Friday the 13th? –

Year Friday the 13th Dates
2023 Friday, January 13 Friday, October 13
2024 Friday, September 13 Friday, December 13
2025 Friday, June 13
2026 Friday, February 13 Friday, March 13 Friday, November 13

Are there always 4 Fridays in a month?

The shortest possible month is a 28 day February which makes for a 4 Fridays month. Because 28 is 4 * 7, a 28 day month MUST have exactly 4 Fridays and not fewer. The longest possible month has 31 days, so max 5 Fridays.

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How many weekdays in a month?

How many business days do we have in a month? It typically ranges between 19-22 days, considering a 5-day workweek. Since the number of days varies from month to month, the number of workdays also varies. If we consider a 6-day workweek, the number of workdays varies between 24-27 days.

How many Thursdays in a month?

Next post Previous post October 20, 2021 at 11:51 PM by Dr. Drang A couple of weeks ago, this question from ldebritto appeared in the Automators forum: I was looking for a way to have Shortcuts peek into last month’s calendar and count how many Thursdays were that month (4 or 5).

  • Any ideas on how to make it? Stephen Millard, who posts there under the name sylumer, answered the question with a straightforward shortcut that loops through the days of last month, counting the Thursdays it meets along the way.
  • It’s the kind of solution I employ often: a brute force approach that can be written quickly and uses looping instead of excessive cleverness.

And in this case, since there can’t be more than 31 trips around the loop, it will run extremely fast. It’s a good solution. But it nagged at me. This blog has a long history of showing calendrical calculations, and I had written a post on a similar problem (finding months with five Fridays, Saturdays, and Sundays) eleven years ago.

  1. The scripts in that post had some brute force aspects, but they also took advantage of how months are structured to filter the loops.
  2. I wanted to do something similar for the “how many Thursdays” problem.
  3. As ldebritto said in his question, every month has either four or five Thursdays (indeed, four or five of any weekday).

Whether it’s four or five depends on the number of days in the month and the date of the first Thursday of the month. We’ll consider each of these pieces of information and how they affect the answer. Since every month has 28–31 days, we know that each month has four weeks plus 0–3 “extra” days.

The first Thursday of September 2021 was on the 2nd, and there are 2 extra days in September. Since 2 ≤ 2, there were five Thursdays that month. The first Thursday of August 2021 was on the 5th, and there are 3 extra days in August. Since 5 ≰ 2, there were four Thursdays that month.

The logic is simple, but implementing it in Shortcuts takes a little effort because there’s no “date of the first Thursday” function. Instead, we’ll figure out how many days from the first of the month to the first Thursday. And because this is one less than the date of the first Thursday the “less than or equal to” comparison we used above will turn into a simple “less than” comparison.

Step Action Comment
1 How Many Fridays Are In A Year Get the current date
2 How Many Fridays Are In A Year Move to the start of this month. We call this magic variable StartOfThisMonth,
3 How Many Fridays Are In A Year Go back one month. We call this magic variable StartOfLastMonth,
4 How Many Fridays Are In A Year Get the number of days between StartOfLastMonth and StartOfThisMonth, which is the length of last month.
5 How Many Fridays Are In A Year Get the number of days over 4 weeks in last month. We call this magic variable ExtraDaysInMonth,
6 How Many Fridays Are In A Year Format StartOfLastMonth with the c code, which gives the day of the week as a number from 1 (Sunday in my locale) to 7 (Saturday).
7 How Many Fridays Are In A Year This is where we do the modulo arithmetic to get the number of days from the start of last month to last month’s first Thursday. We call this magic variable DaysToFirstThursday,
8 How Many Fridays Are In A Year If this is true
9 How Many Fridays Are In A Year Return 5.
10 How Many Fridays Are In A Year Otherwise
11 How Many Fridays Are In A Year Return 4.
12 How Many Fridays Are In A Year End If block.
13 How Many Fridays Are In A Year Show the answer.

The only tricky parts here are Steps 6 and 7. Custom date formatting patterns in Shortcuts follow Unicode Technical Standard #35, where c will give the day of the week as a digit from 1 to 7. In my locale Day 1 is Sunday and Day 7 is Saturday; it may be different where you live.

Step 7 uses the number we got in Step 6 and calculates the number of days from the start of the month to the first Thursday. This involves modulo 7 arithmetic, so the first thing we have to do is subtract 1 from the Step 6 result. Numbers in mod 7 go from 0 to 6, not 1 to 7. After subtraction, we’re in a day numbering system where Thursday is 4.

To get the number of days from the start of the month to the first Thursday, we subtract the weekday number from 4, add 7 (to force a positive result), and then get the remainder ( mod ) after dividing by 7. Let’s do a couple of examples. If I run the shortcut today, last month is September 2021, which started on a Wednesday.

  • Step 6 returns 4, and Step 7 returns (4 – (4 – 1) + 7) mod 7 = (4 – 3 + 7) mod 7 = 8 mod 7 = 1 which makes sense, as there’s one day from the start of September 2021 to the first Thursday of the month.
  • If you’re wondering why we bothered adding 7 and doing the mod stuff—why not just do 4 – (4 – 1) = 1?—think of what happens when we run the shortcut next month.

October 2021 starts on a Friday. Step 6 returns 6, and Step 7 returns (4 – (6 – 1) + 7) mod 7 = (4 – 5 + 7) mod 7 = 6 mod 7 = 6 and there are, in fact, 6 days from the start of October 2021 to the first Thursday of the month. Here, without the + 7 we would have gotten a result of -1 which is not the number of days from the start of October to its first Thursday.

By including the + 7 and mod 7 terms, we have an equation that handles all cases. This is not nearly as easy to understand as Stephen Millard’s solution, so I didn’t post it to the forum. On the other hand, his solution didn’t exercise my modulo muscles. By the way, it didn’t take me two weeks to work this out.

I had the shortcut written the day of the question, but I soon learned that my splitflow script for creating the table of Shortcuts steps you see above was broken. The Shortcuts team changed the look of the app, and the computer vision functions that splitflow uses weren’t able to figure out the top and bottom boundaries of the steps.

How many days makes a month?

The mean length of the synodic month is 29.53059 days (29 days, 12 hours, 44 minutes, 2.8 seconds).