Question

The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is a divisor of 3". Find P(A). Outcome Probability 1 0.15 2 0.06 3 0.03 4 0.22 5 0.14 6 0.08 7 0.01 8 0.1 9 0.11 10 0.1

Answer 1

First let's find the outcomes that are divisors of 3.

The divisors of 3 are 1 and 3, so we will need the probabilities of the outcomes 1 and 3.

The probability of outcome 1 is 0.15, and the probability of outcome 3 is 0.03, so the probability of event A, which includes the outcomes 1 and 3, is the sum of these probabilities:

$\begin{gathered} P(A)=P(1)+P(3) \\ P(A)=0.15+0.03 \\ P(A)=0.18 \end{gathered}$