Step 1 Recall that the entire deck of cards is as follows. AV 2V 3V 10V JV QV K♥ J• Q• K 44 54 64 7 84 94 104 JA Q4 KA 104 JA Q KA 5V 6V 8V 9V A 20 3+ 4 5+ 60 7+ 80 94 10+ A 24 34 24 34 44 54 64 74 84 94 The goal is to determine the number of different five-card poker hands that consists of two pairs. In other words, we need to find the number of ways to pick 2 cards of one denomination, 2 cards of another denomination, and a final card that belongs to neither of the first two denominations. Our decision algorithm is a sequence of four steps. Step 1: Select 2 denominations for the pairs. Step 2: Select 2 cards from one selected denomination. Step 3: Select 2 cards from the other selected denomination. Step 4: Select 1 card that belongs to neither of the previously selected denominations.
Step 1 Recall that the entire deck of cards is as follows. AV 2V 3V 10V JV QV K♥ J• Q• K 44 54 64 7 84 94 104 JA Q4 KA 104 JA Q KA 5V 6V 8V 9V A 20 3+ 4 5+ 60 7+ 80 94 10+ A 24 34 24 34 44 54 64 74 84 94 The goal is to determine the number of different five-card poker hands that consists of two pairs. In other words, we need to find the number of ways to pick 2 cards of one denomination, 2 cards of another denomination, and a final card that belongs to neither of the first two denominations. Our decision algorithm is a sequence of four steps. Step 1: Select 2 denominations for the pairs. Step 2: Select 2 cards from one selected denomination. Step 3: Select 2 cards from the other selected denomination. Step 4: Select 1 card that belongs to neither of the previously selected denominations.
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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Transcribed Image Text:Step 1
Recall that the entire deck of cards is as follows.
AV 2♥ 3♥
5V
6V
8V
9V
10V
J♥ Q♥ _K♥
3+
Q•
84 94 10 Je Q4 KA
104 JA Q
A
20
4
5.
6
8
10 J•
A 24 3
24 34
54
64
74
84
94
KA
The goal is to determine the number of different five-card poker hands that consists of two pairs. In other
words, we need to find the number of ways to pick 2 cards of one denomination, 2 cards of another
denomination, and a final card that belongs to neither of the first two denominations.
Our decision algorithm is a sequence of four steps.
Step 1: Select 2 denominations for the pairs.
Step 2: Select 2 cards from one selected denomination.
Step 3: Select 2 cards from the other selected denomination.
Step 4: Select 1 card that belongs to neither of the previously selected denominations.
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