The experiment is repeated but balls are selected without replacement. That is, after the first ball is drawn, it will not be placed in the box again. And a second ball is drawn at random from the box. d. Are the outcome for the first draw and the outcome for the second draw independent events? Explain why or why not. e. Find the probability that two blue balls are drawn under the new experiment.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Answer D and E only, ABC already asked previously, tq

A box contains 8 red balls, 3 blue balls and 4
white balls. A ball is drawn at random, then
placed in the box again. Then another ball is
drawn at random. The colours of the balls are
recorded.
a. Draw the tree diagram for this probability
experiment.
b. Find the probability that two blue balls are
drawn.
c. Find the probability that a blue ball and
white ball are drawn, regardless of order.
The experiment is repeated but balls are
selected without replacement. That is, after the
first ball is drawn, it will not be placed in the box
again. And a second ball is drawn at random
from the box.
d. Are the outcome for the first draw and the
outcome for the second draw independent
events? Explain why or why not.
e. Find the probability that two blue balls are
drawn under the new experiment.
Transcribed Image Text:A box contains 8 red balls, 3 blue balls and 4 white balls. A ball is drawn at random, then placed in the box again. Then another ball is drawn at random. The colours of the balls are recorded. a. Draw the tree diagram for this probability experiment. b. Find the probability that two blue balls are drawn. c. Find the probability that a blue ball and white ball are drawn, regardless of order. The experiment is repeated but balls are selected without replacement. That is, after the first ball is drawn, it will not be placed in the box again. And a second ball is drawn at random from the box. d. Are the outcome for the first draw and the outcome for the second draw independent events? Explain why or why not. e. Find the probability that two blue balls are drawn under the new experiment.
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