A basket of fruits contains 20 apples, 4 watermelon slices, and 12 oranges. If a piece of fruit is to be selected randomly from the box, what is the probability of selecting an apple or an orange?

Explain the process you used to solve this problem. Show your work and explain using math vocabulary.

1 answer

To find the probability of selecting an apple or an orange, we need to first calculate the total number of fruits in the basket, and then calculate the total number of apples and oranges.

Total number of fruits = 20 apples + 4 watermelon slices + 12 oranges = 36 fruits

Total number of apples and oranges = 20 apples + 12 oranges = 32 fruits

Therefore, the probability of selecting an apple or an orange can be calculated as:

Probability = (Number of favorable outcomes) / (Total number of outcomes)
Probability = (20 apples + 12 oranges) / 36 fruits
Probability = 32/36
Probability = 8/9

So, the probability of selecting an apple or an orange from the basket is 8/9 or 0.889 (rounded to 3 decimal places).

In this case, "favorable outcomes" refers to the number of apples and oranges in the basket, while "total number of outcomes" refers to the total number of fruits in the basket. The probability is calculated as a fraction of the favorable outcomes to the total outcomes.