Question

Probability that people like pizza is p(a) = 0.70. probability that people like burger is p(b) = 0.40. probability that people like both pizza and burger is p(a and
b.= 0.30. based on these data what is the probability that randomly selected person likes pizza or likes burger? use formula for p(a or b).

Answer 1

By addition theorem of probability,

P(AUB) = P(A) + P(B) -P(A∩B)
                        or
P(A or B) = P(A) +P(B) - P(A and B)
P(A or B) = 0.7 + 0.4 - 0.3 = 0.8

Therefore, the probability that randomly selected person likes pizza or burger is 0.8