Question

Events A and B are independent. Suppose event A occurs with probability 0.87 and event B occurs with probability 0.47. a. Compute the probability that A does not occur or B does not occur (or both). b. Compute the probability that either A occurs without B occurring or B occurs without A occurring. (If necessary, consult a list of formulas.) a. х ? 4. b.

Answer 1

a)

Required probability =

P(AUB) = P(ANB)] =1- P(ANB) = 1 - P(A)P(B)

{Since A and B are independent}

$=1-(0.87)(0.47)=0.5911$

b)

Required probability =

P(ANB) + P(ANB) = [P(A) - P(ANB)] + [P(B) - P(ANB) = [P(A) - P(A)P(B)] + [P(B) - P(A)P(B)] [0.87 - (0.87)(0.47)] + [0.47 – (0.87)(0.47)] 0.5322