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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

Verified Answer :

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

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

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