Question

there are 16 oranges and 14 apples in a basket. three - eighth of the oranges and one - seventh of the apples are rotten. if a fruit is randomly selected from the rotten fruits, what is the probability that it will be an orange?

Explanation:

Step1: Calculate the number of rotten oranges

The number of oranges is $16$. The number of rotten oranges is $\frac{3}{8}\times16 = 6$.

Step2: Calculate the number of rotten apples

The number of apples is $14$. The number of rotten apples is $\frac{1}{7}\times14 = 2$.

Step3: Calculate the total number of rotten fruits

The total number of rotten fruits is $6 + 2=8$.

Step4: Calculate the probability

The probability that a randomly - selected rotten fruit is an orange is $\frac{6}{8}=\frac{3}{4}$.

Answer:

$\frac{3}{4}$