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.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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