Elementary Statistics: A Step-by-Step Approach with Formula Card 9th Edition

Published by McGraw-Hill Education
ISBN 10: 0078136334
ISBN 13: 978-0-07813-633-7

Chapter 4 - Probability and Counting Rules - 4-5 Probability and Counting Rules - Exercises 4-5 - Page 245: 8



Work Step by Step

Total outcomes of getting 5 from 52: $_{52}C_5$=2598960 To get 3 cards of one denomination (4 cards )out of 52 cards (13 denominations) n1=$_4C_3$*13=52 To get 2 cards of another denomination (4 cards )out of 49 cards (12 denominations) n2=$_4C_2$*12=72 The probability of getting a full house is $p=\frac{52\times72}{2598960}=0.0014$
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