Question

Suppose A and B are events, with P(A)=0.25, P(AorB)=0.5 and

P(AandB)=0.01. Find each of the following. 1. P(B)= 2. P(notB)= 3.
P(not(A and B)=

Answer 1

To find P(B), subtract P(A and B) from P(A or B). To find P(notB), subtract P(B) from 1. To find P(not(A and B)), subtract P(A and B) from 1.

Step-by-step explanation:

To find the probability of event B, we can use the formula P(B) = P(A or B) - P(A and B), since A and B are not mutually exclusive. Given that P(A or B)=0.5 and P(A and B)=0.01, we have:

P(B) = 0.5 - 0.01 = 0.49

To find the probability of not event B, we can use the formula P(notB) = 1 - P(B), where P(B) is the probability of event B. Therefore, P(notB) = 1 - 0.49 = 0.51

To find the probability of not (A and B), we can use the complement rule, which states that P(not(A and B)) = 1 - P(A and B). Since P(A and B) = 0.01, we have:

P(not(A and B)) = 1 - 0.01 = 0.99