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Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

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BuyFindarrow_forward

Algebra and Trigonometry (MindTap ...

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

Probability These exercises involve probability.

Marbles in a Jar A jar contains ten red marbles labeled 0, 1, 2,……, 9 and five white marbles labeled 0, 1, 2, 3, 4. If a marble is drawn from the jar, find the probability of the given event.

(a) The marble is red.

(b) The marble is even-numbered.

(c) The marble is white and odd numbered.

(d) The marble is red or odd numbered.

To determine

(a)

To find:

The probability if the marble is red.

Explanation

Given:

A jar contains ten red marbles labeled 0, 1, 2,……, 9 and five white marbles labeled 0, 1, 2, 3, 4.

A marble is drawn from the jar.

Approach:

If a set has n objects, then the number of combination of r elements from the set is denoted C(n,r) and is called the number of combination of n objects taken r at a time.

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

The probability of the event is given by,

P(E)=numberofelementsinEnumberofelementsinS

Here, P(E) is the probability, E is the event and S is the sample.

Calculation:

The experiment consists of choosing one marble from 15 marbles, so the number of elements in the sample space S is C(15,1).

Calculate the value of C(15,1).

To determine

(b)

To find:

The probability if the marble is even numbered.

To determine

(c)

To find:

The probability if the marble is white and odd numbered.

To determine

(d)

To find:

The probability if the marble is red or odd numbered.

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Chapter 14 Solutions

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