To find the probability of selecting an apple or a banana from the basket, we first calculate the total number of fruits and then the number of favorable outcomes.
The basket contains:
- 10 bananas
- 5 mangoes
- 5 apples
Total number of fruits: \[ 10 + 5 + 5 = 20 \]
Number of favorable outcomes (selecting an apple or a banana): \[ 10 \text{ (bananas)} + 5 \text{ (apples)} = 15 \]
Now, we calculate the probability \( P \) of selecting an apple or a banana: \[ P(\text{apple or banana}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of fruits}} = \frac{15}{20} = \frac{3}{4} \]
To express this probability in percent form: \[ P(\text{apple or banana}) \times 100 = \frac{3}{4} \times 100 = 75% \]
Therefore, the probability of selecting an apple or a banana is 75%.