In a class of 25 students, 15 of them have a cat , 16 of them have a dog and 3 of them have neither. find the probability that a student chosen at random has a cat and a dog. find the probability that a student chosen at random has a cat and a dog

The probability that a student chosen at random has a cat and a dog is; P(cat and dog) = 9/25.

According to the question, the total number of students is; 25.

The information above are drawn in a Venn diagram in the attached image.

Consequently, the total number of students who own a cat, a dog, both or neither is as follows;

In essence, x = 9

The probability that a student chosen at random has a cat and a dog is therefore;

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ANSWER

EXPLANATION

The given information is represented on the Venn diagram above, where x represents students who have both cat and dog.

The sum of all the regions should give us 25.

Group similar terms to obtain;

Simplify

The probability that a student chosen at random has a cat and a dog is

were is the equation

answer: -8.2562234e+13