Question

the table gives a set of outcomes and their probabilities. let a be the event \the outcome is a divisor of 7\. find ( p(a) ).
outcome | probability
1 | 0.047
2 | 0.095
3 | 0.031
4 | 0.024
5 | 0.189
6 | 0.07
7 | 0.351
8 | 0.018
9 | 0.02
10 | 0.155

Explanation:

Step1: Identify divisors of 7

The divisors of 7 are 1 and 7 (since \(7 = 1\times7\) and 7 is prime).

Step2: Find probabilities of these outcomes

From the table, the probability of outcome 1 is \(0.047\) and the probability of outcome 7 is \(0.351\).

Step3: Sum the probabilities

To find \(P(A)\), we sum the probabilities of the outcomes in event \(A\). So \(P(A)=P(1)+P(7)=0.047 + 0.351\).
\(0.047+0.351 = 0.398\)

Answer:

\(0.398\)