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| 1. |
What is the probability that a leap |
| Answer» We have to find the probability that a leap year has 53 Tuesdays and 53 Mondays.We know that, a leap year has 365 days which means 52 complete weeks and 2 days.Therefore,if 52 weeks end in Mon, then 2 days will be = Tue, WedIf 52 weeks end in Tue, then 2 days will be = Wed, ThuIf 52 weeks end in Wed, then 2 days will be = Thu, FriIf 52 weeks end in Thu, then 2 days will be = Fri, SatIf 52 weeks end in Fri, then 2 days will be = Sat, SunIf 52 weeks end in Sat, then 2 days will be = Sun, Monif 52 weeks end in Sun, then 2 days will be = Mon, TueTherefore,Total number of outcomes = 7Also,number of cases favourable to the event = 1Therefore,required probability that a leap year has 53 Sundays and 53 Mondays =\xa0{tex}\\frac{1}{7}{/tex} | |