Chapter 8.6, Problem 30E

To determine

To find: the probability that the event will not happen.

Answer to Problem 30E

The, probability that the event will not happen is 0.64.

Explanation of Solution

Given information: The complement of an event A is the collection of all outcomes in

the sample space that are not in A . If the probability of A is P (A), then the probability of the complement A’ is given by P (A’) =1- P (A). Given the probability that an event will happen.

P (E) = 0.36.

Formula used:

If the probability of A is P (A), then the probability of the complement A’ is given by

P (A’) =1- P (A).

Calculation:

P (E’) is the probability that event E will not occur. This probability is given by,

P (E’) = 1- P (E).

Given P (E) = 0.36.

Therefore P (E’) = 1- P (E) = 1-0.36=0.64.

So, the probability that the event will not happen is 0.64.