Precalculus with Limits: A Graphing Approach

7th Edition

ISBN: 9781305071711

Author: Ron Larson

Publisher: Brooks/Cole

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Question

Chapter 8.6, Problem 29E

To determine

To calculate: The probability of drawing 2 red marbles from a bad that contains one green, two yellow and three red marbles without replacement.

Expert Solution & Answer

Answer to Problem 29E

The probability to draw two red marbles is

$15$ .

Explanation of Solution

Given information:

An experiment that draws two marbles from a bag that contains one green, two yellow and three red marbles without replacement.

Formula used:

The probability of an event is the ratio of number of possible outcomes of an event E denoted by

$n(E)$ and the sample space of equally likely outcome denoted by $n(S)$ . Mathematically it is denoted by,

$P(E)=n(E)n(S)$ .

Calculation:

Consider the provided experiment that draws two marbles from a bag that contains one green, two yellow and three red marbles without replacement.

Total number of marbles are 6.

Recall that the probability of an event is the ratio of number of possible outcomes of an event E denoted by $n(E)$ and the sample space of equally likely outcome denoted by $n(S)$ . Mathematically it is denoted by, $P(E)=n(E)n(S)$ .

Denote the event $E1$ as a red color marble is drawn and sample space $S1=6$ .

Since, the experiment is done without replacing the marbles and two marbles are drawn.

Denote the event $E2$ as a red color marble is drawn second time and now sample space $S2=5$ as one is already out of the bag.

So, $n(E1)=3$ , $n(E2)=2$ , $n(S1)=6$ and $n(S2)=5$ .

Probability that both red marbles are drawn is,

$P(E)=n(E1)n(S1)⋅n(E2)n(S2)=36⋅25=15$

Thus, the probability to draw two red marbles is $15$ .

Chapter 8.6, Problem 28E

Chapter 8.6, Problem 30E

Chapter 8 Solutions

Precalculus with Limits: A Graphing Approach

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Prob. 17E Ch. 8.6 - Prob. 18E Ch. 8.6 - Prob. 19E Ch. 8.6 - Prob. 20E Ch. 8.6 - Prob. 21E Ch. 8.6 - Prob. 22E Ch. 8.6 - Prob. 23E Ch. 8.6 - Prob. 24E Ch. 8.6 - Prob. 25E Ch. 8.6 - Prob. 26E Ch. 8.6 - Prob. 27E Ch. 8.6 - Prob. 28E Ch. 8.6 - Prob. 29E Ch. 8.6 - Prob. 30E Ch. 8.6 - Prob. 31E Ch. 8.6 - Prob. 32E Ch. 8.6 - Prob. 33E Ch. 8.6 - Prob. 34E Ch. 8.6 - Prob. 35E Ch. 8.6 - Prob. 36E Ch. 8.6 - Prob. 37E Ch. 8.6 - Prob. 38E Ch. 8.6 - Prob. 39E Ch. 8.6 - Prob. 40E Ch. 8.6 - Prob. 41E Ch. 8.6 - Prob. 42E Ch. 8.6 - Prob. 43E Ch. 8.6 - Prob. 44E Ch. 8.6 - Prob. 45E Ch. 8.6 - Prob. 46E Ch. 8.6 - Prob. 47E Ch. 8.6 - Prob. 48E Ch. 8.6 - Prob. 49E Ch. 8.6 - Prob. 50E Ch. 8.6 - Prob. 51E Ch. 8.6 - Prob. 52E Ch. 8.6 - Prob. 53E Ch. 8.6 - Prob. 54E Ch. 8.6 - Prob. 55E Ch. 8.6 - Prob. 56E Ch. 8.6 - Prob. 57E Ch. 8.6 - Prob. 58E Ch. 8.6 - Prob. 59E Ch. 8.6 - Prob. 60E Ch. 8.6 - Prob. 61E Ch. 8.6 - Prob. 62E Ch. 8.6 - Prob. 63E Ch. 8.6 - Prob. 64E Ch. 8.6 - Prob. 65E Ch. 8.6 - Prob. 66E Ch. 8.6 - Prob. 67E Ch. 8.6 - Prob. 68E Ch. 8.6 - Prob. 69E Ch. 8.6 - Prob. 70E Ch. 8.6 - Prob. 71E Ch. 8.6 - Prob. 72E Ch. 8.6 - Prob. 73E Ch. 8.6 - Prob. 74E Ch. 8.6 - Prob. 75E Ch. 8.6 - Prob. 76E Ch. 8.6 - Prob. 77E Ch. 8.6 - Prob. 78E Ch. 8.6 - Prob. 79E Ch. 8.6 - Prob. 80E Ch. 8 - Prob. 1RE Ch. 8 - Prob. 2RE Ch. 8 - Prob. 3RE Ch. 8 - Prob. 4RE Ch. 8 - Prob. 5RE Ch. 8 - Prob. 6RE Ch. 8 - Prob. 7RE Ch. 8 - Prob. 8RE Ch. 8 - Prob. 9RE Ch. 8 - Prob. 10RE Ch. 8 - Prob. 11RE Ch. 8 - Prob. 12RE Ch. 8 - Prob. 13RE Ch. 8 - Prob. 14RE Ch. 8 - Prob. 15RE Ch. 8 - Prob. 16RE Ch. 8 - Prob. 17RE Ch. 8 - Prob. 18RE Ch. 8 - Prob. 19RE Ch. 8 - Prob. 20RE Ch. 8 - Prob. 21RE Ch. 8 - Prob. 22RE Ch. 8 - Prob. 23RE Ch. 8 - Prob. 24RE Ch. 8 - Prob. 25RE Ch. 8 - Prob. 26RE Ch. 8 - Prob. 27RE Ch. 8 - Prob. 28RE Ch. 8 - Prob. 29RE Ch. 8 - Prob. 30RE Ch. 8 - Prob. 31RE Ch. 8 - Prob. 32RE Ch. 8 - Prob. 33RE Ch. 8 - Prob. 34RE Ch. 8 - Prob. 35RE Ch. 8 - Prob. 36RE Ch. 8 - Prob. 37RE Ch. 8 - Prob. 38RE Ch. 8 - Prob. 39RE Ch. 8 - Prob. 40RE Ch. 8 - Prob. 41RE Ch. 8 - Prob. 42RE Ch. 8 - Prob. 43RE Ch. 8 - Prob. 44RE Ch. 8 - Prob. 45RE Ch. 8 - Prob. 46RE Ch. 8 - Prob. 47RE Ch. 8 - Prob. 48RE Ch. 8 - Prob. 49RE Ch. 8 - Prob. 50RE Ch. 8 - Prob. 51RE Ch. 8 - Prob. 52RE Ch. 8 - Prob. 53RE Ch. 8 - Prob. 54RE Ch. 8 - Prob. 55RE Ch. 8 - Prob. 56RE Ch. 8 - Prob. 57RE Ch. 8 - Prob. 58RE Ch. 8 - Prob. 59RE Ch. 8 - Prob. 60RE Ch. 8 - Prob. 61RE Ch. 8 - Prob. 62RE Ch. 8 - Prob. 63RE Ch. 8 - Prob. 64RE Ch. 8 - Prob. 65RE Ch. 8 - Prob. 66RE Ch. 8 - Prob. 67RE Ch. 8 - Prob. 68RE Ch. 8 - Prob. 69RE Ch. 8 - Prob. 70RE Ch. 8 - Prob. 71RE Ch. 8 - Prob. 72RE Ch. 8 - Prob. 73RE Ch. 8 - Prob. 74RE Ch. 8 - Prob. 75RE Ch. 8 - Prob. 76RE Ch. 8 - Prob. 77RE Ch. 8 - Prob. 78RE Ch. 8 - Prob. 79RE Ch. 8 - Prob. 80RE Ch. 8 - Prob. 81RE Ch. 8 - Prob. 82RE Ch. 8 - Prob. 83RE Ch. 8 - Prob. 84RE Ch. 8 - Prob. 85RE Ch. 8 - Prob. 86RE Ch. 8 - Prob. 87RE Ch. 8 - Prob. 88RE Ch. 8 - Prob. 89RE Ch. 8 - Prob. 90RE Ch. 8 - Prob. 91RE Ch. 8 - Prob. 92RE Ch. 8 - Prob. 93RE Ch. 8 - Prob. 94RE Ch. 8 - Prob. 95RE Ch. 8 - Prob. 96RE Ch. 8 - Prob. 97RE Ch. 8 - Prob. 98RE Ch. 8 - Prob. 99RE Ch. 8 - Prob. 1CT Ch. 8 - Prob. 2CT Ch. 8 - Prob. 3CT Ch. 8 - Prob. 4CT Ch. 8 - Prob. 5CT Ch. 8 - Prob. 6CT Ch. 8 - Prob. 7CT Ch. 8 - Prob. 8CT Ch. 8 - Prob. 9CT Ch. 8 - Prob. 10CT Ch. 8 - Prob. 11CT Ch. 8 - Prob. 12CT Ch. 8 - Prob. 13CT Ch. 8 - Prob. 14CT Ch. 8 - Prob. 15CT Ch. 8 - Prob. 16CT Ch. 8 - Prob. 17CT Ch. 8 - Prob. 18CT Ch. 8 - Prob. 19CT Ch. 8 - Prob. 20CT Ch. 8 - Prob. 21CT Ch. 8 - Prob. 22CT Ch. 8 - Prob. 23CT Ch. 8 - Prob. 24CT Ch. 8 - Prob. 25CT Ch. 8 - Prob. 26CT

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