One six-sided die and one sixteen-sided die are rolled. What is the probability of rolling an even number on the six-sided die and rolling a 16 on the other die?0.2290.1670.0630.031
Question
One six-sided die and one sixteen-sided die are rolled. What is the probability of rolling an even number on the six-sided die and rolling a 16 on the other die?0.2290.1670.0630.031
Solution
To solve this problem, we need to calculate the probability of each event separately and then multiply them together, because these are independent events.
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The probability of rolling an even number on a six-sided die: There are 3 even numbers on a six-sided die (2, 4, 6). So the probability is 3 out of 6, or 0.5.
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The probability of rolling a 16 on a sixteen-sided die: There is only one 16 on a sixteen-sided die. So the probability is 1 out of 16, or 0.0625.
Now, multiply these two probabilities together to get the final answer: 0.5 * 0.0625 = 0.03125.
So, the probability of rolling an even number on the six-sided die and rolling a 16 on the other die is 0.03125.
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