A hat contains slips of paper numbered 1 through 6. You draw two slips of paper at random from the hat,without replacing the first slip into the hat.(a) (5 points) Write out the sample space S for this experiment.(b) (5 points) Express the event E : {the sum of the numbers on the slips of paper is 4} as a subset of S.(c) (5 points) Find P(E)(d) (5 points) Let F = {the larger minus the smaller number is 0}. What is P(F )?(e) (5 points) Are E and F disjoint? Why or why not?(f) (5 points) Find P(E ∪ F )

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 33E: Find the probability of each event. Drawing 5 orange cubes from a bowl containing 5 orange cubes and...
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A hat contains slips of paper numbered 1 through 6. You draw two slips of paper at random from the hat,
without replacing the first slip into the hat.
(a) (5 points) Write out the sample space S for this experiment.
(b) (5 points) Express the event E : {the sum of the numbers on the slips of paper is 4} as a subset of S.
(c) (5 points) Find P(E)
(d) (5 points) Let F = {the larger minus the smaller number is 0}. What is P(F )?
(e) (5 points) Are E and F disjoint? Why or why not?
(f) (5 points) Find P(E ∪ F )

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