Question
A traditional number cube is rolled twice. What is the probability that the first roll lands on an even number, and the second roll lands on an odd number? Express your answer as a simplified fraction.(1 point)
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GPT 3.5
Since a traditional number cube has 6 faces and half of them are even numbers (2, 4, 6) and half of them are odd numbers (1, 3, 5), the probability of the first roll landing on an even number is 1/2.
After the first roll, there are 3 even numbers and 3 odd numbers left on the cube. Therefore, the probability of the second roll landing on an odd number is 3/6 or 1/2.
To find the probability of both events happening, we simply multiply the probabilities together:
1/2 * 1/2 = 1/4
Therefore, the probability of the first roll landing on an even number and the second roll landing on an odd number is 1/4.
After the first roll, there are 3 even numbers and 3 odd numbers left on the cube. Therefore, the probability of the second roll landing on an odd number is 3/6 or 1/2.
To find the probability of both events happening, we simply multiply the probabilities together:
1/2 * 1/2 = 1/4
Therefore, the probability of the first roll landing on an even number and the second roll landing on an odd number is 1/4.
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