Question

A number cube is rolled and a coin is tossed. The number cube and the coin are fair. What is the probability that the number rolled is greater than

4
and the coin toss is heads?
Write your answer as a fraction in simplest form.

Answer 1

Probability for either side of a fair coin: 1/2
Probability of any side of a dice: 1/6

P(number rolled on dice is greater than 4[5 or 6]): 1/6+1/6= 2/6=1/3
P(Coin is heads): 1/2
P(Coin is heads AND dice >4): 1/3x1/2= 1/6