Critical Thinking You are given the information that PA 030

Critical Thinking You are given the information that P(A) = 0.30 and P(B) = 0.40.

(a) Do you have enough information to compute P(A or B)? Explain.

(b) If you know that events A and B are mutually exclusive, do you have enough information to compute P(A or B)? Explain.

Solution

given

P(A)=0.3            P(B)=0.4

A) we have to check that given information is sufficient for calculating P(A or B) or not

since there is no info that there is any common element between A and B or not

since if there is any common element between A and B then

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

if there is no common element between them

so P(A or B) =P(A) + P(B)

so given information is not sufficient to compute P(A or B)

B) here given that A and B are mutually exclusive means there is no any element common between A and B

thta is P(A and B) =0

so

P( A or B)=P(A) +P(B) =0.3 +0.4 =0.7