Question

25 pieces of fruit are in a bowl. 14 of them are apples. a piece of fruit is randomly drawn from the bowl. without replacing the first one, a second piece is drawn. what is the probability that both of the pieces of fruit drawn are apples? round your answer to the nearest hundredth.

Explanation:

Step1: Probability of first apple

Probability = $\frac{\text{Number of apples}}{\text{Total fruits}} = \frac{14}{25}$

Step2: Probability of second apple

After drawing one apple, remaining apples = 13, total fruits = 24. Probability = $\frac{13}{24}$

Step3: Multiply probabilities

Joint probability = $\frac{14}{25} \times \frac{13}{24}$

Step4: Calculate and round

$\frac{14 \times 13}{25 \times 24} = \frac{182}{600} \approx 0.30$

Answer:

0.30