Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter CSB, Problem 4.18E
To determine

To find: the probability P(both either black or face) .

Expert Solution & Answer
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Answer to Problem 4.18E

The probability P(both either black or face) is 65221 .

Explanation of Solution

Given information:

As mentioned in problem two cards are drawn out of deck of cards.

Formula:

Total number of black cards is 26 and face is 12 .

  Number of probability=No. of outcomeTotal no. of outcome.

Total probability P(both either black or face) = p(AB)=p(A)+P(B)P(AB) .

Calculation:

Consider the statement that two cards are drawn out of deck of cards.

Since total number of cards in the deck is 52 .

Two cards are drawn from the deck of cards.

Therefore n(s) =event of two cards drawn =52C252×512=1326.

Recall that there are 26 black card and 12 face card.

Event of both black card are n(A)=26C226×252=325.

Event of ace card are n(B)=12C2=12×11×10!10!×2!=12×112=66.

Event of both black and face card is n(AB)=2C2=1 .

Recall number of probability of black cards=No. of outcomeTotal no. of outcome=p(A)=n(A)n(s)=3251326 .

Recall number of probability of face cards=No. of outcomeTotal no. of outcome=p(B)=n(B)n(s)=661326.

Recall that probability of both black and ace card p(AB)=n(AB)n(s)=11326.

Therefore the probability P(both either black or ace) is p(AB)=p(A)+P(B)P(AB) .

Therefore p(AB)=3251326+66132611326=3901326=65221.

Therefore probability P(both either black or ace) is 65221 .

Chapter CSB Solutions

Algebra 2

Ch. CSB - Prob. 1.11ECh. CSB - Prob. 1.12ECh. CSB - Prob. 1.13ECh. CSB - Prob. 1.14ECh. CSB - Prob. 1.15ECh. CSB - Prob. 1.16ECh. CSB - Prob. 1.17ECh. CSB - Prob. 1.18ECh. CSB - Prob. 1.19ECh. CSB - Prob. 1.20ECh. CSB - Prob. 1.21ECh. CSB - Prob. 1.22ECh. CSB - Prob. 1.23ECh. CSB - Prob. 1.24ECh. CSB - Prob. 2.1ECh. CSB - Prob. 2.2ECh. CSB - Prob. 2.3ECh. CSB - Prob. 2.4ECh. CSB - Prob. 2.5ECh. CSB - Prob. 2.6ECh. CSB - Prob. 2.7ECh. CSB - Prob. 2.8ECh. CSB - Prob. 2.9ECh. CSB - Prob. 2.10ECh. CSB - Prob. 2.11ECh. CSB - Prob. 2.12ECh. CSB - Prob. 2.13ECh. CSB - Prob. 2.14ECh. CSB - Prob. 2.15ECh. CSB - Prob. 2.16ECh. CSB - Prob. 2.17ECh. CSB - Prob. 2.18ECh. CSB - Prob. 2.19ECh. CSB - Prob. 2.20ECh. CSB - Prob. 2.21ECh. CSB - Prob. 2.22ECh. CSB - Prob. 2.23ECh. CSB - Prob. 2.24ECh. CSB - Prob. 2.25ECh. CSB - Prob. 2.26ECh. CSB - Prob. 2.27ECh. CSB - Prob. 2.28ECh. CSB - Prob. 2.29ECh. CSB - Prob. 2.30ECh. CSB - Prob. 2.31ECh. CSB - Prob. 2.32ECh. CSB - Prob. 2.33ECh. CSB - Prob. 2.34ECh. CSB - Prob. 2.35ECh. CSB - Prob. 2.36ECh. CSB - Prob. 2.37ECh. CSB - Prob. 2.38ECh. CSB - Prob. 2.39ECh. CSB - Prob. 2.40ECh. CSB - Prob. 3.1ECh. CSB - Prob. 3.2ECh. CSB - Prob. 3.3ECh. CSB - Prob. 3.4ECh. CSB - Prob. 3.5ECh. CSB - Prob. 3.6ECh. CSB - Prob. 3.7ECh. CSB - Prob. 3.8ECh. CSB - Prob. 3.9ECh. CSB - Prob. 3.10ECh. CSB - Prob. 3.11ECh. CSB - Prob. 3.12ECh. CSB - Prob. 3.13ECh. CSB - Prob. 3.14ECh. CSB - Prob. 4.1ECh. CSB - Prob. 4.2ECh. CSB - Prob. 4.3ECh. CSB - Prob. 4.4ECh. CSB - Prob. 4.5ECh. CSB - Prob. 4.6ECh. CSB - Prob. 4.7ECh. CSB - Prob. 4.8ECh. CSB - Prob. 4.9ECh. CSB - Prob. 4.10ECh. CSB - Prob. 4.11ECh. CSB - Prob. 4.12ECh. CSB - Prob. 4.13ECh. CSB - Prob. 4.14ECh. CSB - Prob. 4.15ECh. CSB - Prob. 4.16ECh. CSB - Prob. 4.17ECh. CSB - Prob. 4.18ECh. CSB - Prob. 4.19ECh. CSB - Prob. 4.20ECh. CSB - Prob. 4.21ECh. CSB - Prob. 4.22ECh. CSB - Prob. 5.1ECh. CSB - Prob. 5.2ECh. CSB - Prob. 6.1ECh. CSB - Prob. 6.2ECh. CSB - Prob. 6.3ECh. CSB - Prob. 6.4ECh. CSB - Prob. 6.5ECh. CSB - Prob. 6.6ECh. CSB - Prob. 7.1ECh. CSB - Prob. 7.2ECh. CSB - Prob. 7.3ECh. CSB - Prob. 8.1ECh. CSB - Prob. 8.2ECh. CSB - Prob. 8.3ECh. CSB - Prob. 8.4ECh. CSB - Prob. 8.5E
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