a basket contains eight apples ans eight peaches you randomly select one peice of fruit and eat it then you randomly select another peice of fruit. both peices of fruits are apples

Answer 1

Once you select and eat an apple, there are only seven apples and eight peaches remaining in the basket. The probability of selecting another apple now becomes 7/15.

Therefore, the probability of selecting two apples in a row is 8/16 * 7/15 = 56/240 = 7/30

So the probability that both fruits selected are apples is 7/30.

You can also use the following formula:

P(Both Apples) = [C(8,2)C(8,0)]/C(16,2) = (8*7)/(16*15) = 7/30