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

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    2021-09-10T15:09:33+00:00

    Answer:

    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

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