In a club of 55 athletes, 35 played cricket and 32 played football. Each athlete played either cricket or football. Find the number of athletes who played: (a) Both Cricket and Football (b) cricket only b) football only

In a club of 55 athletes, 35 played cricket and 32 played football. Each athlete played either cricket or football. Find the number of athletes who played: (a) Both Cricket and Football (b) cricket only b) football only

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

In a club of 55 athletes, 35 played cricket and 32 played football. Each athlete played either
cricket or football. Find the number of athletes who played:
(a) Both Cricket and Football
(b) cricket only
b) football only

Expert Solution

Step 1

Let A be the event for athletes who played cricket

And B be the event for athletes who played football

Given

n(AUB)=55, n(A)=35 and n(B)=32

Farmula

n(AUB)=n(A)+n(B)-n(A⋂B)

Step by step

Solved in 2 steps

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