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Chapter 5: Q 59. (page 311)

Twenty of a sample of 275 students say they are vegetarians. Of the vegetarians, 9eat both fish and eggs, 3 eat eggs but not fish, and 8 eat neither. Choose one of the vegetarians at random. What is the probability

that the chosen student eats neither fish nor eggs?

(a) 8/275=0.03 (c) 8/20=0.4 (e) 1

(b) 20/275=0.07 (d)

Short Answer

Expert verified

The correct option is (c) 8/20=0.4

Step by step solution

01

Step 1. Given Information

There are 275 pupils in total. There are 20 vegetarian students in the class.

A total of 9 vegetarian students eat both fish and eggs. A total of 3 vegetarian students consume eggs but not fish. There are 7 vegetarian students who eat neither.

02

Step 2. Concept Used

Formula's usedProbability=NumberoffavorableoutcomesTotalpossibleoutcomes

03

Step 3. Calculation

Total sample space = 20

Both fish and eggs should be consumedP(A∪B)=9

P(studentseatsneitherfishnoreggs)=nooffavorableoutcomesnumberofpossibleoutcomes

P(studentseatsneitherfishnoreggs)=8/20

P(studentseatsneitherfishnoreggs)=0.4

The probability that chosen P(studentseatsneitherfishnoreggs)=0.4

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