Question

what is the probability of getting 53 Saturdays in a leap year ​

Answer 1

SOLUTION

TO DETERMINE

The probability of getting 53 Saturdays in a leap year

EVALUATION

Leap year = 366 days

366 days = 52 weeks 2 days

Now 52 weeks contains 52 Saturdays

2 days is one of the below

( Sunday, Monday), ( Monday, Tuesday), (Tuesday, Wednesday), ( Wednesday, Thursday), ( Thursday, Friday), ( Friday, Saturday ), (Saturday, Sunday)

So the total number of possible outcomes = 7

Let A be the event that of getting 53 Saturdays in a leap year

So the total event points for the event A is ( Friday, Saturday ), (Saturday, Sunday)

So the total number of possible outcomes for the event A is 2

Hence the required probability

= P(A)

$\displaystyle \sf{ = \frac{2}{7} }$

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