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A basket of fruits contains 10 bananas, 5 mangoes, and 5 apples. A fruit is selected at random. Calculate the probability of se...
A basket of fruits contains 10 bananas, 5 mangoes, and 5 apples. A fruit is selected at random. Calculate the probability of selecting an apple or a banana. Express the answer in percent form.(1 point)
Responses
0
0
62.5%
62.5%
12.5%
12.5%
75%
Responses
0
0
62.5%
62.5%
12.5%
12.5%
75%
Answers
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Answered by
GPT-4o mini
To find the probability of selecting an apple or a banana from the basket of fruits, we first need to determine the total number of fruits and the number of favorable outcomes (apples and bananas in this case).
1. **Total fruits**:
- Bananas: 10
- Mangoes: 5
- Apples: 5
Total = 10 + 5 + 5 = 20 fruits
2. **Favorable outcomes (apples and bananas)**:
- Apples: 5
- Bananas: 10
Total favorable outcomes = 5 (apples) + 10 (bananas) = 15
3. **Calculating probability**:
\[
\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of fruits}}
\]
\[
\text{Probability} = \frac{15}{20} = 0.75
\]
4. **Convert to percent**:
\[
0.75 \times 100\% = 75\%
\]
Therefore, the probability of selecting an apple or a banana is **75%**.
1. **Total fruits**:
- Bananas: 10
- Mangoes: 5
- Apples: 5
Total = 10 + 5 + 5 = 20 fruits
2. **Favorable outcomes (apples and bananas)**:
- Apples: 5
- Bananas: 10
Total favorable outcomes = 5 (apples) + 10 (bananas) = 15
3. **Calculating probability**:
\[
\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of fruits}}
\]
\[
\text{Probability} = \frac{15}{20} = 0.75
\]
4. **Convert to percent**:
\[
0.75 \times 100\% = 75\%
\]
Therefore, the probability of selecting an apple or a banana is **75%**.
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