   Chapter 9.1, Problem 7E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Random Selection In a class of 72 students, 44 are girls and, of these, 12 are going to college. Of the 28 boys in the class, 9 are going to college. A student is selected at random from the class. What is the probability that the person chosen is(a) going to college?(b) not going to college?(c) a girl who is not going to college?

(a)

To determine

To calculate: The probability that the person chosen is going to college when in a class of 72 students, 44 are girls and, of these, 12 are going to college and of the 28 boys in the class, 9 are going to college.

Explanation

Given information:

The provided information that is, in a class of 72 students, 44 are girls and, of these, 12 are going to college and of the 28 boys in the class, 9 are going to college.

Formula used:

Definition of Probability of an event x:

P(x)=Favrable eventTotal possible event=n(x)n(S)

Where n(S) is the number of equally likely event in the sample space.

Calculation:

Consider the provided information that is, in a class of 72 students, 44 are girls and, of these, 12 are going to college and of the 28 boys in the class, 9 are going to college.

Now, use the definition of probability of an event x:

P(x)=Favrable eventTotal possible event=n(x)n(S)

Where n(S) is the number of equally likely event in the sample space.

Since, total number of students in a class is 72, this is total possible event.

So, n(S)=72

Out of 44 girls, 12 are going to college. So, favorable event is 12

(b)

To determine

To calculate: The probability that the person chosen is not going to college when in a class of 72 students, 44 are girls and, of these, 12 are going to college and of the 28 boys in the class, 9 are going to college.

(c)

To determine

To calculate: The probability that the person chosen a girl who is not going to college when in a class of 72 students, 44 are girls and, of these, 12 are going to college and of the 28 boys in the class, 9 are going to college.

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