There are 6 acts in a talent show. An acrobat, a juggler, a magician, a pianist, a singer, and a violinist. A talent show host randomly schedules the 6 acts. Compute the probability of each of the following events. Event A: The acrobat is first, the violinist is second, the juggler is third, and the magician is fourth. Event B: The first four acts are the juggler, the violinist, the magician, and the acrobat, in any order. Write your answers as fractions in simplest form.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.6: Permutations
Problem 31E
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Question

There are

6

acts in a talent show.

An acrobat, a juggler, a magician, a pianist, a singer, and a violinist.

A talent show host randomly schedules the

6

acts.

Compute the probability of each of the following events.

Event A: The acrobat is first, the violinist is second, the juggler is third, and the magician is fourth.

Event B: The first four acts are the juggler, the violinist, the magician, and the acrobat, in any order.

Write your answers as fractions in simplest form.

 

 

 

Let 

A

 and 

C

 be two events such that 

=PA0.16

 and 

=PC0.16

.

Do not round your responses. (If necessary, consult a list of formulas.)

(a)

 

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