A deck of cards has: 4 cards of suit A, 5 cards of suit B, 7 cards of suit C, A hand is a subset of 4 cards. (a) How many hands are there? (b) What is the probability of getting a hand with: 1 card of suit A, 1 card of suit B, and 2 cards of suit C? Please round to at least 6 decimal places.

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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A deck of cards has:
4 cards of suit A,
5 cards of suit B,
7 cards of suit C,
A hand is a subset of 4 cards.
(a) How many hands are there?
(b) What is the probability of getting a hand with:
1 card of suit A,
1 card of suit B, and
2 cards of suit C?
Please round to at least 6 decimal places.
Transcribed Image Text:A deck of cards has: 4 cards of suit A, 5 cards of suit B, 7 cards of suit C, A hand is a subset of 4 cards. (a) How many hands are there? (b) What is the probability of getting a hand with: 1 card of suit A, 1 card of suit B, and 2 cards of suit C? Please round to at least 6 decimal places.
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