Question

A fair six-sided die is rolled and then a coin is flipped twice.

Calculate the probability of getting a 2 on the die followed by two heads from the
coin.
Give your answer as a fraction in its simplest form.

Answer 1

1/24

Explanation:

First, we need to create a sample space to list the possible outcomes.

S = {1HH, 1HT, 1TH, 1TT, 2HH, 2HT, 2TH, 2TT, 3HH, 3HT, 3TH, 3TT, 4HH, 4HT, 4TH, 4TT, 5HH, 5HT, 5TH, 5TT, 6HH, 6HT, 6TH, 6TT}

• No. of total outcomes = 4 x 6 = 24 outcomes
• Only one outcome has getting a 2 on the die followed by two heads on the coin
• P(2 on die, then two heads) = 1/24

Solution :-

1/24