March 2027 has 31 days, and 1 March 2027 is a Monday. A date in March 2027 is chosen at random. What is the probability that it is a Sunday?

\frac{4}{31}

Correct answerYour answer

\frac{2}{15}

Correct answerYour answer

\frac{1}{7}

Correct answerYour answer

\frac{5}{31}

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer A

Correct answer: A

The first Sunday is 7 March; the Sundays are 7, 14, 21 and 28 March.
29, 30 and 31 March are Monday, Tuesday and Wednesday, so there is no fifth Sunday.
Probability $= \frac{4}{31}$ .

Worth noting

$\frac{1}{7}$ assumes each weekday is equally common, but a 31-day month has 5 of three weekdays and 4 of the rest. $\frac{5}{31}$ is right for a Monday, Tuesday or Wednesday.

Concept: Counting outcomes in a calendar
Typical timeTypical: 70 s
Your timeYours: —

The rule this testsBasic probability

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Ten questions from Counting and Basic Probability, at your own pace.

March 2027 has 31 days, and 1 March 2027 is a Monday. A date in March 2027 is chosen at random. What is the probability that it is a Sunday?

Explanation