a) the probability that at least one car is a SUV; (b) the probability that none of the cars are a SUV; (c) The probability that the older car is a SUV given that the newer car is a SUV:

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.CR: Chapter 12 Review
Problem 11CR
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A family that owns two cars is selected at random. Let A1 = {the older car is a SUV} and A2={the newer car is a SUV} be two events. If it is assumed that P(A1) = 1/3, P(A2)
= 1/4 and
P(A1 n A2) = 1/12, compute:
(a) the probability that at least one car is a SUV;
(b) the probability that none of the cars are a SUV;
(c) The probability that the older car is a SUV given that the newer car is a SUV:
(d) The probability that the newer car is a SUV given that the older car is not a SUV.

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