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Question

# What is the probability that a leap year selected at random will contain 53 Sundays?

A
12
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B
27
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C
57
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D
67
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Solution

## The correct option is B 27In a leap year there are 366 days. 366 days = 52 weeks and 2 days. These remaining two days can be (a) Sunday, Monday (b) Monday, Tuesday (c) Tuesday, Wednesday (d) Wednesday, Thursday (e) Thursday, Friday (f) Friday, Saturday (g) Saturday, Sunday ∴ Total no. of cases (a to g) = 7 No. of favourable cases (a, g) = 2 ∴ Required probability =27

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