Two balls, each equally likely to be coloured either red or blue, are put in an urn. At each stage one of the balls is randomly chosen, its colour is noted, and it is then returned to the urn. If the first two balls chosen are coloured red, what is the probability that (a) both balls in the urn are coloured red; (b) the next ball chosen will be red?

Two balls, each equally likely to be coloured either red or blue, are put in an urn. At each stage one of the balls is randomly chosen, its colour is noted, and it is then returned to the urn. If the first two balls chosen are coloured red, what is the probability that (a) both balls in the urn are coloured red; (b) the next ball chosen will be red?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.8: Probabilities Of Disjoint And Overlapping Events

Problem 2C

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Question

Question 6 Two balls, each equally likely to be coloured either red or blue, are put in an urn. At
each stage one of the balls is randomly chosen, its colour is noted, and it is then returned to the
urn. If the first two balls chosen are coloured red, what is the probability that
(a) both balls in the urn are coloured red;
(b) the next ball chosen will be red?

Expert Solution