Suppose there are three cards in a deck: one marked with a “1,"one marked with a “2,"and one marked with a "5." You draw two cards at random, without replacement from the deck of three cards. The sample space S = {(1,2), (2,1),(1,5),(5,1),(2,5),(5,2)} consists of these six equally likely outcomes. Let X be the total of the two cards drawn. Which of the following is the correct set of probabilities for X? X 3 7 P 3/16 6/16 7/16 X 3 6. 7 P 1/3 1/3 1/3

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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Suppose there are three cards in a deck: one marked with a “1,"one marked with a "2,"and one marked with a "5." You
draw two cards at random, without replacement from the deck of three cards. The sample space
S = {(1,2), (2,1),(1,5),(5,1),(2,5),(5,2)} consists of these six equally likely outcomes. Let X be the total of the two cards
drawn. Which of the following is the correct set of probabilities for X?
X
3
6.
7
P
3/16
6/16
7/16
X
3
7
1/3
1/3
1/3
1
5
1/3
1/3
1/3
Transcribed Image Text:Suppose there are three cards in a deck: one marked with a “1,"one marked with a "2,"and one marked with a "5." You draw two cards at random, without replacement from the deck of three cards. The sample space S = {(1,2), (2,1),(1,5),(5,1),(2,5),(5,2)} consists of these six equally likely outcomes. Let X be the total of the two cards drawn. Which of the following is the correct set of probabilities for X? X 3 6. 7 P 3/16 6/16 7/16 X 3 7 1/3 1/3 1/3 1 5 1/3 1/3 1/3
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