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A bag contains 5 good and 3 bad apples.
Two apples are picked at random.
Find the probability of picking:
© 1 good and 1 bad apple.

Ask by Coleman Long. in the United States
Mar 28,2025

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The probability of picking 1 good and 1 bad apple is .

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Bonus Knowledge

To find the probability of picking 1 good and 1 bad apple, first calculate the total number of apples, which is 8 (5 good + 3 bad). The total ways to choose 2 apples from 8 is given by the combination formula where is the total number and is how many we’re choosing. So, .
Next, to find the number of ways to pick 1 good and 1 bad apple, calculate the combinations separately: (for good apples) and (for bad apples). Since we pick one good and one bad, we multiply the two values: .
Finally, the probability of picking 1 good and 1 bad apple is the number of favorable outcomes divided by the total outcomes: . Thus, the probability is approximately 0.536 or 53.6%.

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