Question

Papa's Italian Restaurant has collected data about customer sauce orders. It calculated that P(marinara) = 0.74, P(pesto) = 0.62, and P(marinara or pesto) = 0.90. Determine the P(marinara and pesto).
0.12

0.46

0.16

0.22

Answer 1

0.46 is the probability.

Answer 2

P(M∪P)=P(M)+P(P)−P(M∩P) ........(1) Plugging in the given values of probability into (1), we get:
0.9=0.74+0.62−P(M∩P) ..........(2)
so the answer is 0.46