A fair 20-sided die has faces numbered 1 through 20. If the... | SAT Probability and conditional probability Question, Answer Explained

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Math · Problem-Solving and Data AnalysisEasy

A fair $20$ -sided die has faces numbered $1$ through $20$ . If the die is rolled once, what is the probability that the number rolled is a multiple of $3$ ?

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Answer: 3/10

The multiples of $3$ from $1$ to $20$ are $3, 6, 9, 12, 15,$ and $18$ , which is $6$ outcomes. There are $20$ equally likely outcomes, so the probability is $\frac{6}{20} = \frac{3}{10}$ .

Dividing $20$ by $3$ and rounding up suggests $7$ multiples, but $21$ is not on the die, so there are only $6$ .

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