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)

Question

Responses

0
0

62.5%
62.5%

75%
75%

12.5%
12.5%

Answer 1

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.

1. Total fruits in the basket:

   • Bananas: 10
   • Mangoes: 5
   • Apples: 5

   Total = 10 + 5 + 5 = 20 fruits

2. Favorable outcomes (selecting an apple or a banana):

   • Apples: 5
   • Bananas: 10

   Total favorable outcomes = 5 (apples) + 10 (bananas) = 15

3. Probability of selecting an apple or a banana: \[ P(\text{apple or banana}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of fruits}} = \frac{15}{20} = \frac{3}{4} \]

4. Convert to percent: \[ P(\text{apple or banana}) = \frac{3}{4} \times 100 = 75% \]

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