Question

Of a group of 30 cats, 24 eat tinned or dry food, 10 like dry food and 5 like both tinned and dry food. Find the probability that a randomly selected cat likes only tinned food.

Answer 1

Given: 30 cats, 24 for tinned or dry food, 10 for only dry food, 5 for both tinned and dry food.

Cats that like only tinned food: 24 - 10 = 14

Probability that a randomly selected cat likes only tinned food: $\frac{14}{30} = \frac{7}{15}$