   Chapter 14.2, Problem 16E ### 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

# Three CDs are picked at random from a collection of 12 of which four are defective. Find the probability of the following.a) All three CD’s are defective.b) All three CD’s are functional probability.

To determine

(a)

To find:

The probability that all the three CDs are defective

Explanation

Given:

There are 12 CDs of which 4 are defective and 3 are selected.

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:

Let, D be the event that the three CDs are defective

To determine

(b)

To find:

The probability that all the three CD’s are functioning properly.

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