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GATE > Learn GATE Coaching > What is the chance that a leap year, selected at random,...
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What is the chance that a leap year, selected at random, will contain 53 Saturdays?

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A leap year has 366 days = 52 weeks ( 52x7 days) + 2 days = 364 + 2 = 366 Days So, we are looking for either of these extra 2 days being Saturday. We have 7 week days , we have 2 extra days in leap year over 52 weeks. Thus probability that any day of the week is Saturday is 1/7 Here we have 2 Extra days...
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A leap year has 366 days=52 weeks ( 52x7 days) + 2 days=364 + 2=366 Days So, we are looking for either of these extra 2 days being Saturday. We have 7 week days , we have 2 extra days in leap year over 52 weeks. Thus probability that any day of the week is Saturday is 1/7 Here we have 2 Extra days==> Total Probability = 1/7 + 1/7 = 2/7 Hence the chance that a leap year selected at random will contain 53 Saturdays is 2/7. read less
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