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Question no. 56669

What is the statistical chance that a leap year comprises exactly 53 Sundays and 52 Mondays?

Select your answer for: What is the statistical chance that a leap year comprises exactly 53 Sundays and 52 Mondays?
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Answer: B. 1/7

Explanation

A leap year contains a total of three hundred sixty six days, which equals fifty two full weeks and two extra days. The seven possible combinations for these two extra consecutive days of the week form the sample space. Exactly fifty three Sundays and fifty two Mondays occurs only when the extra days are Sunday and Monday, giving a probability of one seventh. Leap years occur every four years, adding an extra day in February to synchronize the calendar with Earth's solar orbit. Probability calculations divide the number of favorable outcome events by the total size of the sample space. Calendar cycle analysis requires accounting for the exact number of weekdays contained within fifty two full weeks.

Zero is incorrect because the specific combination of days is indeed possible within the calendar cycle. Two sevenths would represent the probability if two separate weekday pairs were favorable instead of just one specific pair. Five sevenths overestimates the likelihood by including multiple incorrect weekday combinations in the numerator.

Subject
Mathematics
Category
Mathematics
Topic
—
Difficulty
medium

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