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(a) There are 4 red balls and 6 blue balls in a bag. A ball is drawn at random from the bag. If the colour of the ball is red, it is returned to the bag and a second ball is drawn. If the colour is blue, the ball is not returned to the bag and a second ball is drawn. Find the probability that (i) both balls are blue the balls are of different colours. (iii) Find the value of x if x red balls are added into the bag and the probability that 81 both balls are red is 225

(a) There are 4 red balls and 6 blue balls in a bag. A ball is drawn at random from the bag. If the colour of the ball is red, it is returned to the bag and a second ball is drawn. If the colour is blue, the ball is not returned to the bag and a second ball is drawn. Find the probability that (i) both balls are blue the balls are of different colours. (iii) Find the value of x if x red balls are added into the bag and the probability that 81 both balls are red is 225

A First Course in Probability (10th Edition)
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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(a) There are 4 red balls and 6 blue balls in a bag. A ball is drawn at random from the bag. If the colour of the ball is red, it is returned to the bag and a second ball is drawn. If the colour is blue, the ball is not returned to the bag and a second ball is drawn. Find the probability that (i) both balls are blue the balls are of different colours. (iii) Find the value of x if x red balls are added into the bag and the probability that 81 both balls are red is 225
Transcribed Image Text:(a) There are 4 red balls and 6 blue balls in a bag. A ball is drawn at random from the bag. If the colour of the ball is red, it is returned to the bag and a second ball is drawn. If the colour is blue, the ball is not returned to the bag and a second ball is drawn. Find the probability that (i) both balls are blue the balls are of different colours. (iii) Find the value of x if x red balls are added into the bag and the probability that 81 both balls are red is 225
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