Three cards are drawn from a deck of thirty playing cards separated into threeequally portioned suits: emerald (E), ruby (R), and quartz (Q). Let S be the sample space ofthe suits of all drawn hands of three cards. a. Assuming cards are drawn without replacement, calculate the probability that a quartz is drawn first and a ruby last. b. Assuming cards are drawn with replacement, calculate the probability of at least two emeralds being drawn

College Algebra
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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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Three cards are drawn from a deck of thirty playing cards separated into three
equally portioned suits: emerald (E), ruby (R), and quartz (Q). Let S be the sample space of
the suits of all drawn hands of three cards.

a. Assuming cards are drawn without replacement, calculate the probability that a quartz is drawn first and a ruby last. 
b. Assuming cards are drawn with replacement, calculate the probability of at least two emeralds being drawn

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