An urn contains 5 red balls and 6 blue balls. A ball is drawn randomly, its colour is noted, and then the ball is replaced in the urn. If this process is repeated four times:  What is the probability of getting two red balls and 2 blue balls? What is the probability that all 4 balls are of the same colour? What is the probability that the first red ball is drawn in the 4th trial?

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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An urn contains 5 red balls and 6 blue balls. A ball is drawn randomly, its colour is noted, and then the ball is replaced in the urn. If this process is repeated four times: 

  • What is the probability of getting two red balls and 2 blue balls?
  • What is the probability that all 4 balls are of the same colour?
  • What is the probability that the first red ball is drawn in the 4th trial?
Q-5:
a) An urn contains 5 red balls and 6 blue balls. A ball is drawn randomly, its
colour is noted, and then the ball is replaced in the urn. If this process is
repeated four times:
i. What is the probability of getting two red balls and 2 blue balls?
ii. What is the probability that all 4 balls are of the same colour?
iii. What is the probability that the first red ball is drawn in the 4th trial?
Transcribed Image Text:Q-5: a) An urn contains 5 red balls and 6 blue balls. A ball is drawn randomly, its colour is noted, and then the ball is replaced in the urn. If this process is repeated four times: i. What is the probability of getting two red balls and 2 blue balls? ii. What is the probability that all 4 balls are of the same colour? iii. What is the probability that the first red ball is drawn in the 4th trial?
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