Use counting arguments from the preceding chapter.The seven contenders in a horse race at Aqueduct on a certain day, were Par None, Expect a Ship, All That Glitters, Senatorial Hope, Celera, Cliff Jumper, and Mayan Ring. You are interested in the first threeplaces (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.)210possible 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 En F in words.O This is the event that Celera wins and Senatorial Hope is in second place.O This is the event that Celera does not win and Senatorial Hope is in second or third place.O This is the event that Celera does not win and Senatorial Hope is not in second or third place.O This is the event that Celera wins and Senatorial Hope is in third place.O This is the event that Celera wins and Senatorial Hope is in second or third place.Find its cardinality.8X events

Given that: Par none, Expect a Ship, All that Glitters, Senatorial Hope, Celera, Cliff Jumper, and…

Answered: Use counting arguments from the…

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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