a. What is the probability that 2 of the chosen balls are red? b. If it is known that the 2nd ball is white, what is the probability that the first ball is also white? c. If it is known that the 3rd ball is red, what is the probability that both of the first two balls are white?

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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Consider an experiment of choosing 3 balls
(without replacement) from an urn containing 5
red and 7 white balls.
a. What is the probability that 2 of the chosen
balls are red?
b. If it is known that the 2nd ball is white, what is
the probability that the first ball is also white?
c. If it is known that the 3rd ball is red, what is
the probability that both of the first two balls are
white?
Transcribed Image Text:Consider an experiment of choosing 3 balls (without replacement) from an urn containing 5 red and 7 white balls. a. What is the probability that 2 of the chosen balls are red? b. If it is known that the 2nd ball is white, what is the probability that the first ball is also white? c. If it is known that the 3rd ball is red, what is the probability that both of the first two balls are white?
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