An eight-sided die is rolled at the same time a coin is flipped. What is the probability of rolling a 5 and flipping a head?
Question
An eight-sided die is rolled at the same time a coin is flipped. What is the probability of rolling a 5 and flipping a head?
Solution
To solve this problem, we need to understand that the roll of the die and the flip of the coin are independent events. This means that the outcome of one does not affect the outcome of the other.
Step 1: Determine the probability of each independent event.
The die has 8 sides, so the probability of rolling a 5 is 1 out of 8, or 1/8.
The coin has 2 sides, so the probability of flipping a head is 1 out of 2, or 1/2.
Step 2: Multiply the probabilities of the independent events to find the probability of both events occurring.
So, the probability of rolling a 5 and flipping a head is (1/8) * (1/2) = 1/16.
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