   Chapter 14.2, Problem 67E ### 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

# APPLICATIONSMaking Words A monkey is trained to arrange wooden blocks in a row. The monkey is then given 11 blocks showing the letters A , B , B , I , I , L , O , P , R , T , Y . What is the probability that the monkey will arrange the blocks to spell the word P R O B A B I L I T Y ?

To determine

To find:

The probability that the blocks spells the word PROBABILITY.

Explanation

Given:

The monkey is given 11 blocks with letters A, B, B, I, I, L, O, P, R, T, Y.

Approach:

Let S be the sample space and all outcomes are equally likely. The probability of an event E denoted by P(E) is,

P(E)=n(E)n(S)=numberoffavourableoutcomestotalnumberofoutcomes

Calculation:

The 11 letters can be arranged in 11! ways

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