An Introduction to Mathematical Statistics and Its Applications (6th Edition)

Published by Pearson
ISBN 10: 0-13411-421-3
ISBN 13: 978-0-13411-421-7

Chapter 2 Probability - 2.2 Sample Spaces and the Algebra of Sets - Questions - Page 22: 21

Answer

$40$ outcomes

Work Step by Step

A is set of 5-cards consecutive in denomination B is set of 5-cards which are from same suit $A\cap B$ will be set of 5-cards which are both consecutive and belong to the same suit. Now counting outcomes of $A\cap B$ There are 4 suits in deck of 52 cards each with 13 cards There can be 10 outcomes for 5-consecutive cards from a particular suit $1^{st}$ outcome - (A,2,3,4,5) $9^{th}$ outcome - (9, 10, A, J, Q) $10^{th} outcome - (10,A, J, Q, K) So from suits we will get $4*10=40 such outcomes because there are $4$ types of suits.
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