VI If PA 040 PB 080 and PA and B 030 a Determine whether

VI. If P(A) = 0.40, P(B) = 0.80, and P(A and B) = 0.30 a. Determine whether A and B are independent. Show your calculation. b. Determine P(A or B). Show your calculation.

Solution

a)

A and B are not independent , since if A and B are independent , then P (A and B ) will be zero

b)

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

= 0.4 + 0.8 - 0.3

= 0.9