A bag contains 3 white balls and 5 black balls. An experiment consists of drawing three balls from the bag, one after the other and without replacement. Draw a tree diagram illustrating all the possible outcomes. Hence, or otherwise, find the probability that (a) no white ball is drawn, (b) at least one white ball is drawn, te) at least one black ball is drawn given that at least one white ball is drawn. 8 (i)

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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Answer detailly 8(i)

A bag contains 3 white balls and 5 black balls. An experiment consists of drawing three balls from the
bag, one after the other and without replacement.
Draw a tree diagram illustrating all the possible outcomes.
Hence, or otherwise, find the probability that
(a) no white ball is drawn,
(b) at least one white ball is drawn,
te) at least one black ball is drawn given that at least one white ball is drawn.
8 (i)
The events A and B are such that P(A) =, P(A U B) = P(A\B) = =
Find P(B) and P(A N B):
Show that A and B are not independent events.
%3D
Transcribed Image Text:A bag contains 3 white balls and 5 black balls. An experiment consists of drawing three balls from the bag, one after the other and without replacement. Draw a tree diagram illustrating all the possible outcomes. Hence, or otherwise, find the probability that (a) no white ball is drawn, (b) at least one white ball is drawn, te) at least one black ball is drawn given that at least one white ball is drawn. 8 (i) The events A and B are such that P(A) =, P(A U B) = P(A\B) = = Find P(B) and P(A N B): Show that A and B are not independent events. %3D
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