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 less than 4 and the coin toss is heads?
Write your answer as a fraction in simplest form.
There are two parts to this event: rolling a number less than 4 on the number cube and getting heads on the coin. The probability of rolling a number less than 4 on the number cube is 3/6 or 1/2, since there are 3 numbers less than 4 out of a total of 6 possible outcomes. The probability of getting heads on the coin is 1/2, since there are 2 possible outcomes and only 1 leads to heads.
To find the probability of both events happening, you need to multiply the probabilities:
1/2 x 1/2 = 1/4
So the probability of rolling a number less than 4 and getting heads on the coin is 1/4.