Question:
Probability of getting a rotten apple from a lot of 480 apples is 0.125. Find the number of good apples.
Probability of getting a rotten apple from a lot of 480 apples is 0.125. Find the number of good apples.
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Probability of an event occurring is \( P(E) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \). If you know the probability and total outcomes, you can find the number of favorable outcomes. Also, \( P(\text{Event}) + P(\text{Not Event}) = 1 \).
Updated On: Jun 5, 2025
- 400
- 412
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- 420
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The Correct Option is D
Solution and Explanation
Step 1: Understand the given information.
Total number of apples in the lot = 480.
Probability of getting a rotten apple = 0.125.
Step 2: Calculate the number of rotten apples.
The number of rotten apples = Probability of rotten apple \( \times \) Total number of apples
Number of rotten apples = \( 0.125 \times 480 \)
To make calculation easier, convert 0.125 to a fraction: \( 0.125 = \frac{125}{1000} = \frac{1}{8} \).
Number of rotten apples = \( \frac{1}{8} \times 480 \)
Number of rotten apples = \( \frac{480}{8} = 60 \)
Step 3: Calculate the number of good apples.
The number of good apples = Total number of apples - Number of rotten apples
Number of good apples = \( 480 - 60 \)
Number of good apples = \( 420 \)
Therefore, the number of good apples is 420.
Total number of apples in the lot = 480.
Probability of getting a rotten apple = 0.125.
Step 2: Calculate the number of rotten apples.
The number of rotten apples = Probability of rotten apple \( \times \) Total number of apples
Number of rotten apples = \( 0.125 \times 480 \)
To make calculation easier, convert 0.125 to a fraction: \( 0.125 = \frac{125}{1000} = \frac{1}{8} \).
Number of rotten apples = \( \frac{1}{8} \times 480 \)
Number of rotten apples = \( \frac{480}{8} = 60 \)
Step 3: Calculate the number of good apples.
The number of good apples = Total number of apples - Number of rotten apples
Number of good apples = \( 480 - 60 \)
Number of good apples = \( 420 \)
Therefore, the number of good apples is 420.
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