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10. Find the probability of havina 5 Tuesdays in the month of August

Answer»

August has 31 days. So 4*7+3 days. Since 4 weeks so there are 4 Tuesdays guaranteed. Remaining are 3 days.

So there can be 7 triplets ie {Sunday, Monday, Tuesday}………….{saturday, Sunday, Monday}.

Among these 7 triplets 3 triplets will result in an extra Tuesday.

So 3 favourable case among 7 equally likely triplets.

So probability = 3/7



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