A football team consists of 13 each freshmen and sophomores, 18 juniors, and 19 seniors. Four players are selected at random to serve as captains. Find the probability of the following. There are 2 sophomores and 2 freshmen. P (2 sophomores, 2 freshmen)=

A football team consists of 13 each freshmen and sophomores, 18 juniors, and 19 seniors. Four players are selected at random to serve as captains. Find the probability of the following. There are 2 sophomores and 2 freshmen. P (2 sophomores, 2 freshmen)=

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

Expert Solution

Step 1: Introduce the given information

Given,

Number of freshmen player, n(freshmen)= 13

Number of sophomores player, n(sophomores) = 13

Number of junior player, n(juniors)= 18

Number of senior players, n(seniors) = 19

Total number players, n = 13+13+18+19 = 63

Using formula,

$P r o b a b i l i t y equals fraction numerator N u m b e r space o f space f a v o r a b l e space o u t c o m e s over denominator T o t a l space n u m b e r space o f space o u t c o m e end fraction$

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