   # An academic department has just completed voting by secret ballot for a department head. The ballot box contains four slips with votes for candidate A and three slips with votes for candidate B. Suppose these slips are removed from the box one by one. a. List all possible outcomes. b. Suppose a running tally is kept as slips are removed. For what outcomes does A remain ahead of B throughout the tally? ### Probability and Statistics for Eng...

9th Edition
Jay L. Devore
Publisher: Cengage Learning
ISBN: 9781305251809

#### Solutions

Chapter
Section ### Probability and Statistics for Eng...

9th Edition
Jay L. Devore
Publisher: Cengage Learning
ISBN: 9781305251809
Chapter 2.1, Problem 7E
Textbook Problem
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## An academic department has just completed voting by secret ballot for a department head. The ballot box contains four slips with votes for candidate A and three slips with votes for candidate B. Suppose these slips are removed from the box one by one. a. List all possible outcomes. b. Suppose a running tally is kept as slips are removed. For what outcomes does A remain ahead of B throughout the tally?

a.

To determine

Find the outcomes in the sample space S.

### Explanation of Solution

Given info:

The data represents the ballot box that has four slips for candidate A and three slips for candidate B.

Justification:

Sample space:

The sample space of a random experiment contains set of all possible outcomes of that experiment.

The possible outcomes in sample space is,

Sample space ={BBBAAAA,BBABAAA,BBAABAA,BBAAABA,BBAAAAB,BABBAAA,BABABAA,BABAABA,BABAAAB,BAABBAA,BAABABA,BAABAAB,BAABAAB,BAAABBA,BAAABAB,BAAAABB,ABBBAA

b.

To determine

Find the possible outcomes in A ahead of B throughout the tally.

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