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Question

Mathematics Question on Probability

What is the probability that an ordinary year has 5353 Tuesdays?

A

18\frac{1}{8}

B

17\frac{1}{7}

C

19\frac{1}{9}

D

29\frac{2}{9}

Answer

17\frac{1}{7}

Explanation

Solution

An ordinary year has 365365 days, i.e., 5252 weeks and 11 day. Now, 5252 weeks have 5252 Tuesdays and the remaining one day can be any of the 77 days. \therefore Required probability = probability of this day being a Tuesday =17\frac{1}{7}.