Suppose the probability of getting the flu is 020 the probab

Suppose the probability of getting the flu is 0.20, the probability of getting a flu shot is 0.60, and the probability of both getting the flu and a flu shot is 0.10.

(a) Find the probability of the union between (getting the the flu) and (getting the flu shot).

(b) Find the probability of (getting the flu and not getting the flu shot).

(c) Find the probability of not getting the flu, and also not getting the flu shot.

(d) Describe the complement of the probability in (a).

Solution

a) BOTH ARE INDEPENDENT EVENT

probability of the union between (getting the the flu) and (getting the flu shot).

P(A U B)=P(A)+P(B)-P(A and B )

P(A)=.20

P(B)=.60

P(A and B )=.10

P(A U B)=0.20+0.60-0.1= 0.70

2)Find the probability of not getting the flu, and also not getting the flu shot? = P(A) - P(C) = 0.2-0.1 = 0.1

3) 1- P(AUB) = 1-0.7 = 0.3