Assume for this problem that the company has 6 Hondas and 5 Fords, and two cars are selected randomly and given to sales representatives. What is the probability of both cars being Hondas, given that both are of the same make?

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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Assume for this problem that the company has 6 Hondas and 5 Fords, and two cars are selected
randomly and given to sales representatives.
What is the probability of both cars being Hondas, given that both are of the same make?
Transcribed Image Text:Assume for this problem that the company has 6 Hondas and 5 Fords, and two cars are selected randomly and given to sales representatives. What is the probability of both cars being Hondas, given that both are of the same make?
Expert Solution
Step 1

Number of Hondas cars = 6

Number of Fords= 5

Probability of both cars being Hyundai , given that both are of same make is given by:

A= Event of selecting both cars being Hondas

B= Event of selecting both of them as Fords

C= Event of selecting both of the same make

PA=6C211C2=0.2727

PB=5C211C2=0.1818

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