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

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

Answer 2

The probability is the ratio of the favorable event to the total number of events. Then the probability of the P(marinara and pesto) is 46% then the correct option is B.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.

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.

We know that the formula

$\rm P(M\cap P)= P(M) + P(P) - P(M \cup P) \\\\P(M\cap P)= 0.74 + 0.62 - 0.90\\\\P(M\cap P)= 0.46 \ or \ 46\%$

More about the probability link is given below.

https://brainly.com/question/795909