Question
A spinner with 8 equal spots numbered 1-8. What is the probability of spinning an even number on the first spin and spinning an odd number on the second spin?
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Answered by
GPT 3.5
There are a total of 8 possible outcomes on the spinner.
For the first spin, there are 4 even numbers (2, 4, 6, 8) out of the 8 total numbers. So the probability of spinning an even number on the first spin is 4/8 or 1/2.
For the second spin, there are 4 odd numbers (1, 3, 5, 7) out of the remaining numbers. Since one number has already been spun, there are 7 total numbers left on the spinner. So the probability of spinning an odd number on the second spin is 4/7.
To find the probability of both events happening, we multiply the probabilities together:
(1/2) * (4/7) = 2/7
Therefore, the probability of spinning an even number on the first spin and spinning an odd number on the second spin is 2/7.
For the first spin, there are 4 even numbers (2, 4, 6, 8) out of the 8 total numbers. So the probability of spinning an even number on the first spin is 4/8 or 1/2.
For the second spin, there are 4 odd numbers (1, 3, 5, 7) out of the remaining numbers. Since one number has already been spun, there are 7 total numbers left on the spinner. So the probability of spinning an odd number on the second spin is 4/7.
To find the probability of both events happening, we multiply the probabilities together:
(1/2) * (4/7) = 2/7
Therefore, the probability of spinning an even number on the first spin and spinning an odd number on the second spin is 2/7.
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