Chapter 8.6, Problem 29E

To determine

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

Answer to Problem 29E

The probability that the event will not happen is 0.25.

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) = 0.75.

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) = 0.75.

Therefore P (E’) = 1- P (E) = 1-0.75=0.25.

So, the probability that the event will not happen is 0.25.