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...
icon
Related questions
Question

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
Expert Solution
steps

Step by step

Solved in 5 steps with 1 images

Blurred answer
Knowledge Booster
Area of a Circle
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON