Question

Consider randomly selecting a single individual and having that person test drive different vehicles. Define events , , and by Suppose that , , , , , and . What is the probability that the individual likes both vehicle

Answer 1

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:

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

$P(A_1\ n\ A_2) = 0.40$