Multiple choice

If a leap year is selected at random, what is the chance that it will contain $53$ Mondays?

  1. $\dfrac17$
  2. $\dfrac27$
  3. $\dfrac37$
  4. $\dfrac57$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A leap year has 366 days, which consists of 52 complete weeks and 2 extra days. These 2 extra days can be any of the 7 consecutive pairs of days of the week. Out of these 7 possible pairs, exactly 2 pairs contain a Monday, giving a probability of 2/7.

AI explanation

A leap year has 366 days, which equals 52 full weeks of 7 days plus 2 extra days. For the year to contain 53 Mondays, at least one of these 2 extra days must be a Monday. The two extra days can be Sunday and Monday or Monday and Tuesday, giving 2 favorable outcomes out of 7 possible pairs. The chance that it will contain 53 Mondays is 2/7.

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