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?

Answer 1

Answer:

9/25

Step-by-step explanation:

Given that in a class of 25 students, 15 of them have a cat, 16 of them have a dog and 3 of them have neither. We need to find out the probability that a student chosen at random has a cat and a dog.

Total number of students are 25 whereas out of 25; 15 have cat, 16 have dog and 3 have neither cat or dog.

Let's say that x number of students have cat and dog.

Now,

Students who have cat = 15 - x, who have dog = 16 - x and have neither cat or dog = 3 + x

→ 15 - x + 16 - x + 3 + x = 25

→ 34 - x = 25

→ x = 34 - 25

→ x = 9

Therefore,

Probability (who have chosen cat or dog) = (Favorable outcomes)/(Total number of outcomes)

= 9/25

Hence, the probability that a student chosen at random has a cat and a dog is 9/25.