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 - draw

The probability of drawing an apple on the first draw is the number of apples divided by the total number of fruits. So, $P_1=\frac{14}{25}=0.56$.

Step2: Probability of second - draw

After drawing one apple on the first draw, there are 13 apples left and 24 fruits left. So, $P_2 = \frac{13}{24}\approx0.54$.

Step3: Probability of both events

Since these are dependent events, the probability that both pieces of fruit drawn are apples is the product of the probabilities of each event. So, $P = P_1\times P_2=0.56\times0.54 = 0.3024\approx0.32$.

Answer:

0.32