What is the probability that a leap year will contain 53 Tuesdays and 52 Wednesdays?
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Step by Step Explanation:
- There are 366 days in a leap year.
- If we divide 366 by 7 (since there are seven days in a week), we will get an answer of 52, with a remainder of 2.
This means that a leap year will have 52 Sundays, 52 Mondays, 52 Tuesdays, 52 Wednesdays, 52 Thursdays, 52 Fridays and 52 Saturdays.
Apart from these, there will be two other days. This means that there will be two weekdays that occur 53 times.
- The two days could be (Sunday, Monday), (Monday, Tuesday), (Tuesday, Wednesday), (Wednesday, Thursday), (Thursday, Friday), (Friday, Saturday), or (Saturday, Sunday) - a total of seven combinations.
- Out of these seven combinations, only one of them has Tuesday but no Wednesday.
- So, the probability of either of those two days being a Tuesday is .