Question

When a die is cast with numbering on its faces, as shown, the ratio of the probability of getting a composite number to the probability of getting a prime number is ______.

Options

• 2 : 3

• 3 : 2

• 1 : 3

• 1 : 2

Answer 1

When a die is cast with numbering on its faces, as shown, the ratio of the probability of getting a composite number to the probability of getting a prime number is 2 : 3.

Explanation:

Faces show numbers 1, 2, 3, 4, 5, 6.

Primes = {2, 3, 5} (3 faces).

Composites = {4, 6} (2 faces).

Probability (composite) = `2/6 = 1/3`.

Probability (prime) = `3/6 = 1/2`.

Ratio = `1/3 : 1/2 = 2 : 3`.