   Chapter 14.2, Problem 17E ### 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

# Two balls are picked at random from a jar that contains three red and five white balls. Find the probability of the following events.a) Both balls are red.b) Both balls are white.

To determine

(a)

To find:

The probability that both balls are red.

Explanation

Given:

There are 3 red and 5 white balls of which 2 balls are picked.

Approach:

The probability of an event A is,

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

Here, P(A) denotes the probability of event A, n(A) is the favourable outcomes of A, n(S) is the total outcomes.

The combination formula is Cnr=n!(nr)!r! where 0rn.

Calculation:

Since, there are 3 red and 5 white balls. So, there are total 8 balls.

Let R be the event that the balls are red

To determine

(b)

To find:

The probability that both balls are white.

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