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Alona [7]
3 years ago
11

Consider randomly selecting a single individual and having that person test drive different vehicles. Define events , , and by S

uppose that , , , , , and . What is the probability that the individual likes both vehicle
Mathematics
1 answer:
Vika [28.1K]3 years ago
5 0

Answer:

P(A_1\ n\ A_2) = 0.40

Step-by-step explanation:

Let:

A_1 \to An Individual likes vehicle 1

A_2 \to An Individual like vehicle 2

P(A_1) = 0.55

P(A_2) = 0.65

P (A_1\ u\ A_2 ) = 0.80

Required

P(A_1\ n\ A_2) --- probability that both vehicles are liked by the individual.

This is calculated as:

P(A_1\ n\ A_2) = P(A_1) + P(A_2) - P(A_1\ u\ A_2)

So, we have:

P(A_1\ n\ A_2) = 0.55 + 0.65 - 0.80

P(A_1\ n\ A_2) = 0.40

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