Multiple choice

Directions: Select the correct alternative from the given choices. lf a leap year is chosen at random, what is the probability that there are exactly 52 Sundays in it?

  1. 1/7

  2. 2/7

  3. 5/7

  4. 6/7
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A leap year has 366 days, which is 52 weeks and 2 extra days. The possible pairs for the 2 extra days are (Sun, Mon), (Mon, Tue), (Tue, Wed), (Wed, Thu), (Thu, Fri), (Fri, Sat), (Sat, Sun). For there to be exactly 52 Sundays, the extra days must not include Sunday. There are 5 such pairs out of 7, so the probability is 5/7.

AI explanation

A leap year has 366 days, which consists of 52 full weeks plus 2 extra days. For the year to have exactly 52 Sundays, neither of these 2 extra days can be a Sunday, which happens in 5 out of the 7 possible pairs of consecutive days. Therefore, the required probability is 5/7.

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