Answered: a) the probability that at least one…

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:

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

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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