Question

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.
You may wish to complete the Venn diagram to help you.
E
Cat
Dog

Answer 1

Answer: 9/25

Explanation:

Since 3 of them have neither a cat or a dog, that means 22 (25-3) of them have a dog, a cat, or both.

16 + 15 = 31, which is 9 more than 22. That means 9 of them have both a dog and a cat.

Out of the 25 people, 9 have both a cat and dog, which means the probablity a student chosen at random has both is 9/25.