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 75% 75% 62.5% 62.5% 12.5% 12.5% 0

1 answer

To find the probability of selecting an apple or a banana, we first determine the total number of fruits and then the number of favorable outcomes (apples and bananas).

  1. Total number of fruits:

    • Bananas: 10
    • Mangoes: 5
    • Apples: 5
    • Total = 10 + 5 + 5 = 20
  2. Number of favorable outcomes (apples + bananas):

    • Apples: 5
    • Bananas: 10
    • Total favorable outcomes = 5 + 10 = 15
  3. Calculating the probability: \[ P(\text{apple or banana}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of fruits}} = \frac{15}{20} = 0.75 \]

  4. Expressing the probability in percent form: \[ 0.75 \times 100 = 75% \]

Thus, the probability of selecting an apple or a banana is 75%.