Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
1st Edition
ISBN: 9780078682278
Author: McGraw-Hill, Berchie Holliday
Publisher: Glencoe/McGraw-Hill
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Chapter 13.5, Problem 22E
To determine

To calculate: The value of probability P(face card) provided that the card is black.

Expert Solution & Answer
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Answer to Problem 22E

The value of probability P(face card) provided that the card is black is 626 .

Explanation of Solution

Given information:

A deck of 52 cards and the first card drawn is a black card.

Formula used:

Probability of an event Eis P(E)=number of outcometotal number of outcome .

Given an event Q , the conditional probability of event A is P(A|Q)=P(A and Q)P(Q) where P(Q)0 .

Calculation:

Consider the provided information that deck of 52 cards is there and the first card drawn is a black card.

The probability of P(face card) provided that the card is black.

Let A be an event that card is black face card and B be an event a black card is drawn.

There are 26 black cards and 6 black colored face cards.

Recall that probability of an event Eis P(E)=number of outcometotal number of outcome .

Probability of drawing a black card is,

  P(B)=2652=12

Probability of drawing a black face card is,

  P(A and B)=652=326

Recall that given an event Q , the conditional probability of event A is P(A|Q)=P(A and Q)P(Q) where P(Q)0 .

The probability of P(face card) provided that the card is black.

  P(A|B)=32612=626

Thus, the value of probability P(face card) provided that the card is black is 626 .

Chapter 13 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Ch. 13.1 - Prob. 11CFUCh. 13.1 - Prob. 12CFUCh. 13.1 - Prob. 13CFUCh. 13.1 - Prob. 14CFUCh. 13.1 - Prob. 15CFUCh. 13.1 - Prob. 16ECh. 13.1 - Prob. 17ECh. 13.1 - Prob. 18ECh. 13.1 - Prob. 19ECh. 13.1 - Prob. 20ECh. 13.1 - Prob. 21ECh. 13.1 - Prob. 22ECh. 13.1 - Prob. 23ECh. 13.1 - Prob. 24ECh. 13.1 - Prob. 25ECh. 13.1 - Prob. 26ECh. 13.1 - Prob. 27ECh. 13.1 - Prob. 28ECh. 13.1 - Prob. 29ECh. 13.1 - Prob. 30ECh. 13.1 - Prob. 31ECh. 13.1 - Prob. 32ECh. 13.1 - Prob. 33ECh. 13.1 - Prob. 34ECh. 13.1 - Prob. 35ECh. 13.1 - Prob. 36ECh. 13.1 - Prob. 37ECh. 13.1 - Prob. 38ECh. 13.1 - Prob. 39ECh. 13.1 - Prob. 40ECh. 13.1 - Prob. 41ECh. 13.1 - Prob. 42ECh. 13.1 - Prob. 43ECh. 13.1 - Prob. 44ECh. 13.1 - Prob. 45ECh. 13.1 - Prob. 46ECh. 13.1 - Prob. 47ECh. 13.1 - Prob. 48ECh. 13.1 - Prob. 49ECh. 13.1 - Prob. 50ECh. 13.1 - Prob. 51ECh. 13.1 - Prob. 52ECh. 13.1 - Prob. 53ECh. 13.1 - Prob. 54ECh. 13.1 - Prob. 55ECh. 13.1 - Prob. 56ECh. 13.1 - Prob. 57ECh. 13.1 - Prob. 58ECh. 13.1 - Prob. 59ECh. 13.1 - Prob. 60ECh. 13.1 - Prob. 61ECh. 13.1 - Prob. 62ECh. 13.1 - Prob. 63ECh. 13.1 - Prob. 64ECh. 13.2 - Prob. 1CFUCh. 13.2 - Prob. 2CFUCh. 13.2 - Prob. 3CFUCh. 13.2 - Prob. 4CFUCh. 13.2 - Prob. 5CFUCh. 13.2 - Prob. 6CFUCh. 13.2 - Prob. 7CFUCh. 13.2 - Prob. 8CFUCh. 13.2 - Prob. 9CFUCh. 13.2 - Prob. 10CFUCh. 13.2 - Prob. 11CFUCh. 13.2 - Prob. 12ECh. 13.2 - Prob. 13ECh. 13.2 - Prob. 14ECh. 13.2 - Prob. 15ECh. 13.2 - Prob. 16ECh. 13.2 - Prob. 17ECh. 13.2 - Prob. 18ECh. 13.2 - Prob. 19ECh. 13.2 - Prob. 20ECh. 13.2 - Prob. 21ECh. 13.2 - Prob. 22ECh. 13.2 - Prob. 23ECh. 13.2 - Prob. 24ECh. 13.2 - Prob. 25ECh. 13.2 - Prob. 26ECh. 13.2 - Prob. 27ECh. 13.2 - Prob. 28ECh. 13.2 - Prob. 29ECh. 13.2 - Prob. 30ECh. 13.2 - Prob. 31ECh. 13.2 - Prob. 32ECh. 13.2 - Prob. 33ECh. 13.2 - Prob. 34ECh. 13.2 - Prob. 35ECh. 13.2 - Prob. 36ECh. 13.2 - Prob. 37ECh. 13.2 - Prob. 38ECh. 13.2 - Prob. 39ECh. 13.2 - Prob. 40ECh. 13.2 - Prob. 41ECh. 13.2 - Prob. 42ECh. 13.2 - Prob. 43ECh. 13.2 - Prob. 44ECh. 13.2 - Prob. 45ECh. 13.2 - Prob. 46ECh. 13.3 - Prob. 1CFUCh. 13.3 - Prob. 2CFUCh. 13.3 - Prob. 3CFUCh. 13.3 - Prob. 4CFUCh. 13.3 - Prob. 5CFUCh. 13.3 - Prob. 6CFUCh. 13.3 - Prob. 7CFUCh. 13.3 - Prob. 8CFUCh. 13.3 - Prob. 9CFUCh. 13.3 - Prob. 10CFUCh. 13.3 - Prob. 11CFUCh. 13.3 - Prob. 12CFUCh. 13.3 - Prob. 13ECh. 13.3 - Prob. 14ECh. 13.3 - Prob. 15ECh. 13.3 - Prob. 16ECh. 13.3 - Prob. 17ECh. 13.3 - Prob. 18ECh. 13.3 - Prob. 19ECh. 13.3 - Prob. 20ECh. 13.3 - Prob. 21ECh. 13.3 - Prob. 22ECh. 13.3 - Prob. 23ECh. 13.3 - Prob. 24ECh. 13.3 - Prob. 25ECh. 13.3 - Prob. 26ECh. 13.3 - Prob. 27ECh. 13.3 - Prob. 28ECh. 13.3 - Prob. 29ECh. 13.3 - Prob. 30ECh. 13.3 - Prob. 31ECh. 13.3 - Prob. 32ECh. 13.3 - Prob. 33ECh. 13.3 - Prob. 34ECh. 13.3 - Prob. 35ECh. 13.3 - Prob. 36ECh. 13.3 - Prob. 37ECh. 13.3 - Prob. 38ECh. 13.3 - Prob. 39ECh. 13.3 - Prob. 40ECh. 13.3 - Prob. 41ECh. 13.3 - Prob. 42ECh. 13.3 - Prob. 43ECh. 13.3 - Prob. 44ECh. 13.3 - Prob. 45ECh. 13.3 - Prob. 46ECh. 13.3 - Prob. 47ECh. 13.3 - Prob. 48ECh. 13.3 - Prob. 49ECh. 13.3 - Prob. 50ECh. 13.3 - Prob. 51ECh. 13.3 - Prob. 1MCQCh. 13.3 - Prob. 2MCQCh. 13.3 - Prob. 3MCQCh. 13.3 - Prob. 4MCQCh. 13.3 - Prob. 5MCQCh. 13.3 - Prob. 6MCQCh. 13.3 - Prob. 7MCQCh. 13.3 - Prob. 8MCQCh. 13.3 - Prob. 9MCQCh. 13.3 - Prob. 10MCQCh. 13.4 - Prob. 1CFUCh. 13.4 - Prob. 2CFUCh. 13.4 - Prob. 3CFUCh. 13.4 - Prob. 4CFUCh. 13.4 - Prob. 5CFUCh. 13.4 - Prob. 6CFUCh. 13.4 - Prob. 7CFUCh. 13.4 - Prob. 8CFUCh. 13.4 - Prob. 9CFUCh. 13.4 - Prob. 10CFUCh. 13.4 - Prob. 11CFUCh. 13.4 - Prob. 12CFUCh. 13.4 - Prob. 13CFUCh. 13.4 - Prob. 14CFUCh. 13.4 - Prob. 15CFUCh. 13.4 - Prob. 16ECh. 13.4 - Prob. 17ECh. 13.4 - Prob. 18ECh. 13.4 - Prob. 19ECh. 13.4 - Prob. 20ECh. 13.4 - Prob. 21ECh. 13.4 - Prob. 22ECh. 13.4 - Prob. 23ECh. 13.4 - Prob. 24ECh. 13.4 - Prob. 25ECh. 13.4 - Prob. 26ECh. 13.4 - Prob. 27ECh. 13.4 - Prob. 28ECh. 13.4 - Prob. 29ECh. 13.4 - Prob. 30ECh. 13.4 - Prob. 31ECh. 13.4 - Prob. 32ECh. 13.4 - Prob. 33ECh. 13.4 - Prob. 34ECh. 13.4 - Prob. 35ECh. 13.4 - Prob. 36ECh. 13.4 - Prob. 37ECh. 13.4 - Prob. 38ECh. 13.4 - Prob. 39ECh. 13.4 - Prob. 40ECh. 13.4 - Prob. 41ECh. 13.4 - Prob. 42ECh. 13.4 - Prob. 43ECh. 13.4 - Prob. 44ECh. 13.4 - Prob. 45ECh. 13.4 - Prob. 46ECh. 13.4 - Prob. 47ECh. 13.4 - Prob. 48ECh. 13.4 - Prob. 49ECh. 13.4 - Prob. 50ECh. 13.4 - Prob. 51ECh. 13.4 - Prob. 52ECh. 13.4 - Prob. 53ECh. 13.4 - Prob. 54ECh. 13.4 - Prob. 55ECh. 13.4 - Prob. 56ECh. 13.4 - Prob. 57ECh. 13.4 - Prob. 58ECh. 13.4 - Prob. 59ECh. 13.4 - Prob. 60ECh. 13.4 - Prob. 61ECh. 13.4 - Prob. 62ECh. 13.4 - Prob. 63ECh. 13.4 - Prob. 64ECh. 13.4 - Prob. 65ECh. 13.5 - Prob. 1CFUCh. 13.5 - Prob. 2CFUCh. 13.5 - Prob. 3CFUCh. 13.5 - Prob. 4CFUCh. 13.5 - Prob. 5CFUCh. 13.5 - Prob. 6CFUCh. 13.5 - Prob. 7CFUCh. 13.5 - Prob. 8CFUCh. 13.5 - Prob. 9CFUCh. 13.5 - Prob. 10CFUCh. 13.5 - Prob. 11CFUCh. 13.5 - Prob. 12CFUCh. 13.5 - Prob. 13CFUCh. 13.5 - Prob. 14ECh. 13.5 - Prob. 15ECh. 13.5 - Prob. 16ECh. 13.5 - Prob. 17ECh. 13.5 - Prob. 18ECh. 13.5 - Prob. 19ECh. 13.5 - Prob. 20ECh. 13.5 - Prob. 21ECh. 13.5 - Prob. 22ECh. 13.5 - Prob. 23ECh. 13.5 - Prob. 24ECh. 13.5 - Prob. 25ECh. 13.5 - Prob. 26ECh. 13.5 - Prob. 27ECh. 13.5 - Prob. 28ECh. 13.5 - Prob. 29ECh. 13.5 - Prob. 30ECh. 13.5 - Prob. 31ECh. 13.5 - Prob. 32ECh. 13.5 - Prob. 33ECh. 13.5 - Prob. 34ECh. 13.5 - Prob. 35ECh. 13.5 - Prob. 36ECh. 13.5 - Prob. 37ECh. 13.5 - Prob. 38ECh. 13.5 - Prob. 39ECh. 13.5 - Prob. 40ECh. 13.5 - Prob. 41ECh. 13.5 - Prob. 42ECh. 13.5 - Prob. 43ECh. 13.5 - Prob. 44ECh. 13.5 - Prob. 45ECh. 13.5 - Prob. 46ECh. 13.5 - Prob. 47ECh. 13.5 - Prob. 48ECh. 13.5 - Prob. 49ECh. 13.5 - Prob. 50ECh. 13.5 - Prob. 51ECh. 13.5 - Prob. 52ECh. 13.5 - Prob. 53ECh. 13.5 - Prob. 54ECh. 13.5 - Prob. 55ECh. 13.6 - Prob. 1GCECh. 13.6 - Prob. 2GCECh. 13.6 - Prob. 3GCECh. 13.6 - Prob. 4GCECh. 13.6 - Prob. 5GCECh. 13.6 - Prob. 6GCECh. 13.6 - Prob. 1CFUCh. 13.6 - Prob. 2CFUCh. 13.6 - Prob. 3CFUCh. 13.6 - Prob. 4CFUCh. 13.6 - Prob. 5CFUCh. 13.6 - Prob. 6CFUCh. 13.6 - Prob. 7CFUCh. 13.6 - Prob. 8CFUCh. 13.6 - Prob. 9CFUCh. 13.6 - Prob. 10CFUCh. 13.6 - Prob. 11CFUCh. 13.6 - Prob. 12CFUCh. 13.6 - Prob. 13ECh. 13.6 - Prob. 14ECh. 13.6 - Prob. 15ECh. 13.6 - Prob. 16ECh. 13.6 - Prob. 17ECh. 13.6 - Prob. 18ECh. 13.6 - Prob. 19ECh. 13.6 - Prob. 20ECh. 13.6 - Prob. 21ECh. 13.6 - Prob. 22ECh. 13.6 - Prob. 23ECh. 13.6 - Prob. 24ECh. 13.6 - Prob. 25ECh. 13.6 - Prob. 26ECh. 13.6 - Prob. 27ECh. 13.6 - Prob. 28ECh. 13.6 - Prob. 29ECh. 13.6 - Prob. 30ECh. 13.6 - Prob. 31ECh. 13.6 - Prob. 32ECh. 13.6 - Prob. 33ECh. 13.6 - Prob. 34ECh. 13.6 - Prob. 35ECh. 13.6 - Prob. 36ECh. 13.6 - Prob. 37ECh. 13.6 - Prob. 38ECh. 13.6 - Prob. 39ECh. 13.6 - Prob. 40ECh. 13.6 - Prob. 41ECh. 13.6 - Prob. 42ECh. 13.6 - Prob. 43ECh. 13.6 - Prob. 44ECh. 13.6 - Prob. 45ECh. 13.6 - Prob. 46ECh. 13.6 - Prob. 47ECh. 13.6 - Prob. 48ECh. 13.6 - Prob. 49ECh. 13.6 - Prob. 50ECh. 13.6 - Prob. 51ECh. 13 - Prob. 1SGACh. 13 - Prob. 2SGACh. 13 - Prob. 3SGACh. 13 - Prob. 4SGACh. 13 - Prob. 5SGACh. 13 - Prob. 6SGACh. 13 - Prob. 7SGACh. 13 - Prob. 8SGACh. 13 - Prob. 9SGACh. 13 - Prob. 10SGACh. 13 - Prob. 11SGACh. 13 - Prob. 12SGACh. 13 - Prob. 13SGACh. 13 - Prob. 14SGACh. 13 - Prob. 15SGACh. 13 - Prob. 16SGACh. 13 - Prob. 17SGACh. 13 - Prob. 18SGACh. 13 - Prob. 19SGACh. 13 - Prob. 20SGACh. 13 - Prob. 21SGACh. 13 - Prob. 22SGACh. 13 - Prob. 23SGACh. 13 - Prob. 24SGACh. 13 - Prob. 25SGACh. 13 - Prob. 26SGACh. 13 - Prob. 27SGACh. 13 - Prob. 28SGACh. 13 - Prob. 29SGACh. 13 - Prob. 30SGACh. 13 - Prob. 31SGACh. 13 - Prob. 32SGACh. 13 - Prob. 33SGACh. 13 - Prob. 34SGACh. 13 - Prob. 35SGACh. 13 - Prob. 36SGACh. 13 - Prob. 37SGACh. 13 - Prob. 38SGACh. 13 - Prob. 39SGACh. 13 - Prob. 40SGACh. 13 - Prob. 41SGACh. 13 - Prob. 42SGACh. 13 - Prob. 43SGACh. 13 - Prob. 44SGACh. 13 - Prob. 45SGACh. 13 - Prob. 46SGACh. 13 - Prob. 47SGACh. 13 - Prob. 48SGACh. 13 - Prob. 49SGACh. 13 - Prob. 50SGACh. 13 - Prob. 51SGACh. 13 - Prob. 1SAPCh. 13 - Prob. 2SAPCh. 13 - Prob. 3SAPCh. 13 - Prob. 4SAPCh. 13 - Prob. 5SAPCh. 13 - Prob. 6SAPCh. 13 - Prob. 7SAPCh. 13 - Prob. 8SAPCh. 13 - Prob. 9SAPCh. 13 - Prob. 10SAP

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