Pre-Algebra

1st Edition

ISBN: 9780618800766

Author: Ron Larson, Lee Stiff, Laurie Boswell, Timothy Kanold

Publisher: Houghton Mifflin-High School

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Question

Chapter 6.8, Problem 17E

To determine

To make a tree diagram to show all the different possible outcomes.

Expert Solution

Answer to Problem 17E

The tree diagram with the possible outcomes can be drawn as:

Pre-Algebra, Chapter 6.8, Problem 17E , additional homework tip 1

There are total of $16$ different possible answers can be given for the two questions.

Explanation of Solution

Given:

There are $2$ questions.

Each question has $4$ choices A, B, C, D of which only $1$ choice is correct.

Calculation:

The tree diagram with the possible outcomes can be drawn as:

Pre-Algebra, Chapter 6.8, Problem 17E , additional homework tip 2

As conclude from the tree diagram there are total of $16$ different possible answers can be given for the two questions.

Hence,

There are total of $16$ different possible answers can be given for the two questions.

ii.

To determine

To find the probability.

ii.

Expert Solution

Answer to Problem 17E

The probability of answering both question correctly is $116$ .

Explanation of Solution

Given:

There are $2$ questions.

Each question has $4$ choices A, B, C, D of which only $1$ choice is correct.

Formula used:

$P(event)=Number of favorable outcomesNumber of possible outcomes$

Calculation:

The tree diagram with the possible outcomes can be drawn as:

Pre-Algebra, Chapter 6.8, Problem 17E , additional homework tip 3

As from the tree diagram,

Total number of possible outcomes $=16$

Number of favorable outcomes of answering both questions correctly $=1$

Therefore,

$P(event)=Number of favorable outcomesNumber of possible outcomesP=116$

Hence,

The probability of answering both question correctly is $116$ .

iii.

To determine

To answer the statement and find the probability.

iii.

Expert Solution

Answer to Problem 17E

The number of outcomes in which answer is option A in at least one of the two question and answer given correctly is $7$ .

The Probability of answering at least one question correctly and the answer is option A is $716$ .

Explanation of Solution

Given:

There are $2$ questions.

Each question has $4$ choices A, B, C, D of which only $1$ choice is correct.

The answer of both the question is A.

Formula used:

$P(event)=Number of favorable outcomesNumber of possible outcomes$

Calculation:

The tree diagram with the possible outcomes is shown as:

Pre-Algebra, Chapter 6.8, Problem 17E , additional homework tip 4

As from the tree diagram,

The outcomes which represent option A as an answer are (A,A) (A,B) (A,C) (A,D) (B,A) (C,A) (D,A)

Therefore,

The number of outcomes in which answer is option A in atleast one of the two question and answer given correctlyis $7$ .

As from the tree diagram,

Total number of possible outcomes $=16$

Number of favorable outcomes in which at least one of the answer is option A and answer given correctly $=7$

Therefore,

$P(event)=Number of favorable outcomesNumber of possible outcomesP=716$

Hence,

The Probability of answering at least one question correctly and the answer is option A is $716$ .

Chapter 6.8, Problem 16E

Chapter 6.8, Problem 18E

Chapter 6 Solutions

Pre-Algebra

Ch. 6.1 - Prob. 1C Ch. 6.1 - Prob. 2C Ch. 6.1 - Prob. 3C Ch. 6.1 - Prob. 4C Ch. 6.1 - Prob. 1E Ch. 6.1 - Prob. 2E Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E Ch. 6.1 - Prob. 5E Ch. 6.1 - Prob. 6E

Ch. 6.1 - Prob. 7E Ch. 6.1 - Prob. 8E Ch. 6.1 - Prob. 9E Ch. 6.1 - Prob. 10E Ch. 6.1 - Prob. 11E Ch. 6.1 - Prob. 12E Ch. 6.1 - Prob. 13E Ch. 6.1 - Prob. 14E Ch. 6.1 - Prob. 15E Ch. 6.1 - Prob. 16E Ch. 6.1 - Prob. 17E Ch. 6.1 - Prob. 18E Ch. 6.1 - Prob. 19E Ch. 6.1 - Prob. 20E Ch. 6.1 - Prob. 21E Ch. 6.1 - Prob. 22E Ch. 6.1 - Prob. 23E Ch. 6.1 - Prob. 24E Ch. 6.1 - Prob. 25E Ch. 6.1 - Prob. 26E Ch. 6.1 - Prob. 27E Ch. 6.1 - Prob. 28E Ch. 6.1 - Prob. 29E Ch. 6.1 - Prob. 30E Ch. 6.1 - Prob. 31E Ch. 6.1 - Prob. 32E Ch. 6.1 - Prob. 33E Ch. 6.1 - Prob. 34E Ch. 6.1 - Prob. 35E Ch. 6.1 - Prob. 36E Ch. 6.1 - Prob. 37E Ch. 6.1 - Prob. 38E Ch. 6.1 - Prob. 39E Ch. 6.1 - Prob. 40E Ch. 6.1 - Prob. 41E Ch. 6.1 - Prob. 42E Ch. 6.1 - Prob. 43E Ch. 6.1 - Prob. 44E Ch. 6.1 - Prob. 45E Ch. 6.1 - Prob. 46E Ch. 6.1 - Prob. 47E Ch. 6.1 - Prob. 48E Ch. 6.1 - Prob. 49E Ch. 6.1 - Prob. 50E Ch. 6.1 - Prob. 51E Ch. 6.1 - Prob. 52E Ch. 6.1 - Prob. 53E Ch. 6.1 - Prob. 54E Ch. 6.1 - Prob. 55E Ch. 6.1 - Prob. 56E Ch. 6.2 - 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Prob. 29CR Ch. 6 - Prob. 30CR Ch. 6 - Prob. 31CR Ch. 6 - Prob. 32CR Ch. 6 - Prob. 33CR Ch. 6 - Prob. 34CR Ch. 6 - Prob. 35CR Ch. 6 - Prob. 1CT Ch. 6 - Prob. 2CT Ch. 6 - Prob. 3CT Ch. 6 - Prob. 4CT Ch. 6 - Prob. 5CT Ch. 6 - Prob. 6CT Ch. 6 - Prob. 7CT Ch. 6 - Prob. 8CT Ch. 6 - Prob. 9CT Ch. 6 - Prob. 10CT Ch. 6 - Prob. 11CT Ch. 6 - Prob. 12CT Ch. 6 - Prob. 13CT Ch. 6 - Prob. 14CT Ch. 6 - Prob. 15CT Ch. 6 - Prob. 16CT Ch. 6 - Prob. 17CT Ch. 6 - Prob. 18CT Ch. 6 - Prob. 19CT Ch. 6 - Prob. 20CT Ch. 6 - Prob. 21CT Ch. 6 - Prob. 22CT Ch. 6 - Prob. 23CT Ch. 6 - Prob. 1CST Ch. 6 - Prob. 2CST Ch. 6 - Prob. 3CST Ch. 6 - Prob. 4CST Ch. 6 - Prob. 5CST Ch. 6 - Prob. 6CST Ch. 6 - Prob. 7CST Ch. 6 - Prob. 8CST Ch. 6 - Prob. 9CST

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