Question
A bag contains 4 good and 2 bad apples.
Two apples are picked at random.
Find the probability of picking:
© 1 good and 1 bad apple.
Two apples are picked at random.
Find the probability of picking:
© 1 good and 1 bad apple.
Ask by Vega Christensen. in the United States
Mar 28,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The probability of picking 1 good and 1 bad apple is
Solution
Step 1. Calculate the total number of ways to pick 2 apples from 6.
Step 2. Determine the number of ways to pick 1 good apple and 1 bad apple.
- Ways to pick 1 good apple from 4:
- Ways to pick 1 bad apple from 2:
- Total favorable ways:
Step 3. Calculate the probability of picking 1 good and 1 bad apple.
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Simplify this solution Mind Expander
To find the probability of picking 1 good apple and 1 bad apple, we can calculate the number of favorable outcomes over the total possible outcomes. There are 4 good apples and 2 bad apples, making 6 apples in total. The total ways to pick 2 apples from 6 is calculated using combinations:
Next, to find the number of ways to select 1 good and 1 bad apple:
- Ways to choose 1 good apple from 4:
- Ways to choose 1 bad apple from 2:
Multiplying these gives us the favorable outcomes:
Now, we can compute the probability:
So, the probability of picking 1 good apple and 1 bad apple is
