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Find the probability that a leap year should have exactly 52 Tuesday.

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47

57

26

23

answer is B.

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Detailed Solution

We are asked to find the probability that a leap year should have exactly 52 Tuesday.
For an event E, probability is given by,

P E = Number of favourable outcomes n(E) Total number of outcomes n(S)

Since the total number of weeks in a leap year is

52

weeks and two odd days.
So, the two odd days may be the combination of, Sunday and Monday, Monday and Tuesday, Tuesday and Wednesday, Wednesday and Thursday, Thursday and Friday,
Friday and Saturday, Saturday and Sunday.
That is

n (S) = 7

.
Thus, the two odd days that will not be Tuesday is Wednesday and Thursday, Thursday and Friday, Friday and Saturday.

n (E) = 5

So, the probability that a leap year should have exactly

52

Tuesdays are,

P E = 57

Thus, the probability tat a leap year should have exactly 52 Tuesdays is

57

.
Hence, option 2 is correct.

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