   Chapter 14.2, Problem 13E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# 1 3 − 1 4 ■ A ball is drawn randomly from a jar that contains five red balls, two white balls, and one yellow ball. Find the probability of the given event.(a) A red ball is drawn.(b) The ball drawn is not yellow.(c) A black ball is drawn.

To determine

(a)

To find:

The probability of the ball drawn from the jar to be red.

Explanation

Given:

The jar has five red balls, two white balls, and one yellow ball and the event is that a red ball is drawn.

Approach:

The number of combinations of n distinct objects taken r at a time is,

C(n,r)=n!r!(nr)!;(rn)

Let S be the sample space of an experiment and let E be an event. Then the probability of E, denoted as, P(E) and given by,

P(E)=n(E)n(S)...(1)

Here, n(E)n(S)=numberofelementsinEnumberofelementsinS

Calculation:

There are total 8 balls in the jar

To determine

(b)

To find:

The probability that there is no yellow ball drawn from the jar.

To determine

(c)

To find:

The probability of a black ball drawn from the jar.

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