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

Question

Mathematics

Guest

15 August, 21:25

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

+1

Answers (2)

Know the Answer?

Collin Ochoa · Answer 1

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%)

Deandre Andersen · Answer 2

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