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Question

# The probability that a non leap year selected at random will contain 53 Sundays is

A
17
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B
27
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C
37
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D
57
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Solution

## The correct option is A 17As we know, a non-leap year has 365 days 365 days =(52×7+1) days ⇒365 days =52 weeks + 1 day (∵7 days=1 week) For 52 weeks, number of Sundays =52 1 remaining day can be Sunday, Monday,Tuesday,Wednesday, Thursday,Friday,Saturday, Sunday. ∴ Total number of possible outcomes =7 Number of favorable outcomes =1 Thus, the probability of getting 53 Sundays =Number of favorable outcomesTotal number of possible outcomes =1/7 Therefore, option (a.) is the correct choice.

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