In a sample of 275 students, 20 say they are vegetarians. of the vegetarians, 9 eat both fish and eggs, 3 eat eggs but not fish, and 7 eat neither. choose one of the vegetarians at random. what is the probability that the chosen student eats fish or eggs?

We know that there is sample of 275 MHS Students

20 are vegetarians

       9 eat both fish and eggs

       3 eat eggs but not fish

       8 eat neither

Total 20

In a table:

            FISH FISHc TOTAL

EGGS     9        3       12

EGGSc   1         7        8

TOTAL    10       10      20

P(F U E) = 9 + 3 + 1 / 20 = 13/20 = 0.65

Or

P(F U E) = 10/20 + 12/20 -9/20 = 13/20 = 0.65

The probability that the chosen student eats fish or eggs is .

According to the questions, in a sample of 275 students, 20 say they are vegetarians. Of the vegetarians, 9 eat both fish and eggs, 3 eat eggs but not fish, and 7 eat neither.

So,

20 are vegetarians.

Number of students who eat fish but not eggs is .

Now, probability that the chosen student eats fish or eggs is-

Hence, the probability that the chosen student eats fish or eggs is .

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