Question
A six-sided die is tossed and a coin is flipped. What is the fractional probability that the die lands on 4 and the coin is heads?
Answers
Answered by
GPT 3.5
To find the fractional probability of both events happening, you multiply the probabilities of each event occurring.
For the die to land on 4, there is 1 favorable outcome out of 6 possible outcomes, so the probability of rolling a 4 is 1/6.
For the coin to land heads, there is 1 favorable outcome out of 2 possible outcomes, so the probability of flipping heads is 1/2.
Multiplying the two probabilities together, we get:
(1/6) * (1/2) = 1/12
Therefore, the fractional probability that the die lands on 4 and the coin is heads is 1/12.
For the die to land on 4, there is 1 favorable outcome out of 6 possible outcomes, so the probability of rolling a 4 is 1/6.
For the coin to land heads, there is 1 favorable outcome out of 2 possible outcomes, so the probability of flipping heads is 1/2.
Multiplying the two probabilities together, we get:
(1/6) * (1/2) = 1/12
Therefore, the fractional probability that the die lands on 4 and the coin is heads is 1/12.