Answered: Use counting arguments from the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Use counting arguments from the preceding chapter.

The seven contenders in a horse race at Aqueduct on a certain day, were Pipe Bomb, Expect the Unexpected, All That Magic, Senatorial Hope, Celera, Cliff Glider, and Inca Halo. You are interested in the first three places (winner, second place, and third place) for the race.

(a)

Find the cardinality n(S) of the sample space S of all possible finishes of the race. (A finish for the race consists of a first, a second, and a third place winner.)

possible finishes

(b)

Let E be the event that Senatorial Hope is in second or third place, and let F be the event that Celera is the winner. Express the event

E ∩ F

in words.

This is the event that Celera does not win and Senatorial Hope is not in second or third place.This is the event that Celera wins and Senatorial Hope is in third place. This is the event that Celera wins and Senatorial Hope is in second or third place.This is the event that Celera wins and Senatorial Hope is in second place.This is the event that Celera does not win and Senatorial Hope is in second or third place.

Find its cardinality.

events

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