What's the probability that one of each branch of the military mentioned above won the prizes b.) What's the probability that a Marine won 1" place, a member of the Navy won second place and also 3rd place?

What's the probability that one of each branch of the military mentioned above won the prizes b.) What's the probability that a Marine won 1" place, a member of the Navy won second place and also 3rd place?

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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Question

31.) At a recent graduation at a naval flight school, 18 Marines, 10 members of the Navy, and 4 members of the Coast Guard got their wings. At the graduation 3 ranked prizes were awarded (1" place, 2nd place, 3n " place) for the amount of successful flights completed. a.) What's the probability that one of each branch of the military mentioned above won the prizes b.) What's the probability that a Marine won 1" place, a member of the Navy won second place and also 3rd place?

**Problem 31: Probability at a Naval Flight School Graduation**

At a recent graduation at a naval flight school, 18 Marines, 10 members of the Navy, and 4 members of the Coast Guard received their wings. During the graduation, three ranked prizes were awarded (1st place, 2nd place, and 3rd place) based on the number of successful flights completed.

Questions:

a) What is the probability that one member from each branch of the military mentioned above won the prizes?

b) What is the probability that a Marine won 1st place, a member of the Navy won 2nd place, and another member won 3rd place?

(Note: There are no graphs or diagrams associated with this problem.)

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Expert Solution

Step 1: Mentioning given information

At a recent graduation at a naval flight school, 18 Marines, 10 members of the Navy, and 4 members of the Coast Guard got their wings.

There are total 18 +10 + 4 = 32 members.

Probability = no of favorable outcomes / total outcomes

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