Question

A coin has been weighted, so that the probability of getting a head is 2/5 and the probability

of getting a tail is 3/5. The coin is thrown twice. Determine the probability of obtaining:
a) 2 heads b) at least one head

Answer 1

Explanation:

a) The probability of obtaining 2 heads when a coin is thrown twice is (2/5) * (2/5) = 4/25.

b) To find the probability of obtaining at least one head, we can find the probability of obtaining no heads (0 heads) and subtract that from 1. The probability of obtaining 0 heads is (3/5) * (3/5) = 9/25. The probability of obtaining at least one head is 1 - (9/25) = 16/25.