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What is the probability that all the officers are women? Round your answers to at least 4 decimal places. The probability that all the officers are women is X

What is the probability that all the officers are women? Round your answers to at least 4 decimal places. The probability that all the officers are women is X

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Answer Part 4

**Choosing Officers:** A committee consists of nine women and twelve men. Three committee members will be chosen as officers. **Part 1 of 4** - **Question:** How many different choices are possible? - **Answer:** There are 1330 different possible choices. **Part 2 of 4** - **Question:** How many different choices are possible if all the officers are to be women? - **Answer:** There are 84 different choices possible if all the officers are to be women. **Part 3 of 4** - **Question:** How many different choices are possible if all the officers are to be men? - **Answer:** There are 220 different choices possible if all the officers are to be men. **Visualization:** - There are no graphs or complex diagrams in the image. The image consists of text boxes containing questions related to the selection of officers from a committee and their corresponding answers. Each question is accompanied by an answer displayed in a distinct box format. A horizontal progress bar indicates the progression through the parts, showing a status of "Part: 2 / 4." This educational content helps to understand combinations and permutations in the context of selecting officers from a given group.
Transcribed Image Text:**Choosing Officers:** A committee consists of nine women and twelve men. Three committee members will be chosen as officers. **Part 1 of 4** - **Question:** How many different choices are possible? - **Answer:** There are 1330 different possible choices. **Part 2 of 4** - **Question:** How many different choices are possible if all the officers are to be women? - **Answer:** There are 84 different choices possible if all the officers are to be women. **Part 3 of 4** - **Question:** How many different choices are possible if all the officers are to be men? - **Answer:** There are 220 different choices possible if all the officers are to be men. **Visualization:** - There are no graphs or complex diagrams in the image. The image consists of text boxes containing questions related to the selection of officers from a committee and their corresponding answers. Each question is accompanied by an answer displayed in a distinct box format. A horizontal progress bar indicates the progression through the parts, showing a status of "Part: 2 / 4." This educational content helps to understand combinations and permutations in the context of selecting officers from a given group.
**Part 3 / 4** --- **Part 4 of 4** What is the probability that all the officers are women? Round your answers to at least 4 decimal places. The probability that all the officers are women is [input box]. [There is an "x" button and a "reset" button next to the input box for user interaction.]
Transcribed Image Text:**Part 3 / 4** --- **Part 4 of 4** What is the probability that all the officers are women? Round your answers to at least 4 decimal places. The probability that all the officers are women is [input box]. [There is an "x" button and a "reset" button next to the input box for user interaction.]
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