   Chapter 14.2, Problem 50E ### 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

# Making Words A monkey is trained to arrange wooden blocks in a straight line. He is then given six blocks showing the letters A , E , H , L , M , T .(a) What is the probability that he will arrange them to spell the word H A M L E T ?(b) What is the probability that he will arrange them to spell the word H A M L E T three consecutive times?

To determine

(a)

To find:

The probability that he will arrange them to spell the word HAMLET.

Explanation

Given:

A monkey is trained to arrange wooden blocks in a straight line. He is then given six blocks showing the letters A, E, H, L, M, T.

Formula used:

If E is the event in a sample space S, then the probability of E is

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

Calculation:

There are total six letters which can be arranged in 6! ways. So,

n(S)=6!=720

There is only one possible way to arranges the letters in the order HAMLET

To determine

(b)

To find:

The probability that he will arrange them to spell the word HAMLET three consecutive times.

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