Choose the one alternative that best completes the statement or answers the question.
-Suppose that the sample space is $\mathrm { S } = \{ 1,2,3,4,5,6,7,8,9,10 \}$ and that outcomes are equally likely. Compute the probability of the event E: "a number divisible by 3 ".
A) $\frac { 2 } { 5 }$
B) 3
C) $\frac { 3 } { 10 }$
D) $\frac { 1 } { 3 }$

Question

Quizplus · Accepted Answer

The event E consists of the outcomes 3, 6, and 9. Since there are 10 outcomes in the sample space and each outcome is equally likely, the probability of each outcome is $\frac { 1 } { 10 }$. Therefore, the probability of the event E is $3 \cdot \frac { 1 } { 10 } = \frac { 3 } { 10 }$.

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