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the table gives a set of outcomes and their probabilities. let a be the…

Question

the table gives a set of outcomes and their probabilities. let a be the event \the outcome is divisible by 2\. find p(a).
outcome probability
1 0.361
2 0.015
3 0.1
4 0.006
5 0.071
6 0.036
7 0.103
8 0.13
9 0.178

Explanation:

Step1: Identify outcomes divisible by 2

The outcomes divisible by 2 are 2, 4, 6, 8.

Step2: Sum their probabilities

$$P(A)=0.015 + 0.006+0.036 + 0.13$$
$$P(A)=0.187$$

Answer:

\(0.187\)