Question

A box contains only pieces of dried mango, dried pineapple and dried apple. The ratio of dried mango to dried pineapple is 3:8. Bernie picks a piece of dried fruit at random from the box. The probability that it is a piece of mango is 3/13 . What is the probability that it is a piece of apple? Give your answer as a fraction in its simplest form.

Answer 1

The probability of picking a piece of dried apple from the box is 2/13, after considering the given probability of picking a dried mango and the ratio of dried mango to dried pineapple.

Step-by-step explanation:

The question provided involves calculating the probability of picking a piece of apple from a box that contains pieces of dried mango, dried pineapple, and dried apple with given ratios for mango to pineapple.

The probability that a piece picked at random is a mango is given as 3/13.

Since we know the ratio of mango to pineapple is 3:8, we can infer that for every 11 pieces (3 + 8), 3 are mangoes. Hence, if the probability of getting a mango is 3/13, and dried mango and dried pineapple together make up 11/13 of the total probability, the remaining probability must be for the dried apples.

Therefore, the probability of picking a dried apple is 2/13 (since 13/13 - 11/13 = 2/13).