A basket contains the following pieces of fruit: 3 apples, 2 oranges, 2 bananas, 2 pears, and 5 peaches. Jameson picks a fruit at random and does not replace it. Then Brittany picks a fruit at random. What is the probability that Jameson gets a banana and Brittany gets a pear?
A. 4/27
B. 1/49
C. 4/91
D. 27/91***
There are a total of 14 fruits in the basket. The probability that Jameson picks a banana is 2/14 = 1/7. After Jameson picks a fruit, there are now 13 fruits in the basket. The probability that Brittany picks a pear is 2/13. Therefore, the probability that Jameson gets a banana and Brittany gets a pear is:
1/7 * 2/13 = 2/91
Therefore, the answer is C. 4/91.