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In a sample of275students, 20say they are vegetarians. Of the vegetarians, 9eat both fish and eggs, 3eat eggs but not fish, and 7eat neither. Choose one of the vegetarians at

random. What is the probability that the chosen student eats fish or eggs?

a. 9/20

b. 13/20

c. 22/20

d. 9/275

e.22/275

Short Answer

Expert verified

The probability that the student chooses a fish or egg is (b)1320.

Step by step solution

01

Given Information

We are given the values of a total vegetarian and a vegetarian who eats both fish and eggs, and another who eats eggs but not fish, and another who doesn't eat both, and we have to find out the probability that the student eats fish or eggs.

02

Explanation

According to the question, from275students20are vegetarians, and from the vegetarian9eat both fish and eggs, data-custom-editor="chemistry" 3eat eggs but not fish, and 7eat neither.

First, find out the probability of eating fish but not eggs, that is,

probability of eating fish but not eggs=20-9-3-7,

On solving, we getP(Fishbutnoteggs)=1

P(Eatfishoreggs)=favourableoutcomestotaloutcomes

favorable outcomes is 9+3+1=13and total outcomes is20.

Put these values,

P(Eat fish or eggs)=1320.

Hence, the probability of eating fish or egg is1320.

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