Solve question 12 and show work for each event which is P(A), P(B) and P(C). 12.Four people Alex, Boris, Clement, and David, are equally qualified runners.They run a 500-meter sprint, and the order of finish is recorded.Suppose thatA is the event that Boris comes the last,B is the event that Boris comes the first and Clement come the last,C is the event that Boris comes the first, Alex comes the second, David comes the third, andClement comes the last.Use counting rules to find probabilities of events A, B, and C.Show calculations of P(A), P(B), and P(C), and state obtained values.a. P(A) =b. P (B) =c. P(C) =

Classical definition of probabilityPermutationNumber of ways in which n distinct object can be…

Answered: a. P(A) = b. P (B) = c. P(C) =

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Probability

a. P(A) = b. P (B) = c. P(C) =

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

Solve question 12 and show work for each event which is P(A), P(B) and P(C).

12.
Four people Alex, Boris, Clement, and David, are equally qualified runners.
They run a 500-meter sprint, and the order of finish is recorded.
Suppose that
A is the event that Boris comes the last,
B is the event that Boris comes the first and Clement come the last,
C is the event that Boris comes the first, Alex comes the second, David comes the third, and
Clement comes the last.
Use counting rules to find probabilities of events A, B, and C.
Show calculations of P(A), P(B), and P(C), and state obtained values.
a. P(A) =
b. P (B) =
c. P(C) =

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