## The probability that a leap year contains 52mondays and 52 Wednesdays is 1 1/7 2 2/7 3 3/7 4

Question

The probability that a leap year contains 52mondays and 52 Wednesdays is
1 1/7
2 2/7
3 3/7
4 5/7​

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2 weeks 2021-09-10T15:08:26+00:00 1 Answer 0 views 0

Hence, the correct answer is option (c)

Step-by-step explanation:

To find: The probability that a leap year has 52 Mondays.

There are 366 days in a leap year.

Thus, there are in a leap year.

Each of these 52 weeks has a Monday.

Hence, there are at least 52 Mondays in any leap year.

The remaining 2 days can be any two consecutive days from Sunday to Saturday, that is,

Sunday, Monday

Monday, Tuesday

Tuesday, Wednesday

Wednesday, Thursday

Thursday, Friday

Friday, Saturday

Saturday, Sunday

Hence, there are 7 possible events.

Out of the possible events, for a leap year to have exactly 52 Mondays, none of the remaining 2 days must be Monday.

Hence, there are exactly 5 favourable outcomes –

Tuesday, Wednesday

Wednesday, Thursday

Thursday, Friday

Friday, Saturday

Saturday, Sunday

The probability of occurrence of an event is defined as .

number of favorite event / total number of event

In this way, we find that the probability of having 52 Mondays in a leap year is 5/7