Question

11. 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.2/91
d.27/91

Answer 1

there are 11 peices of fruit when jameson picks a picks a fruit and 2 bananas
2/11
jameson does not replace the fruit so there are 10 peices of fruit when brittany picks a fruit and 2 pears
2/10
simplify
1/5

Answer 2

there are 14 fruit to start with and 2 bananas

2/14

then there are 13 fruit and 2 pears

2/13

So the probability of the two events in a row without replacement is:

(2/14)(2/13)=4/182

2/91 ( about 2.2%)