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28 March, 15:48

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

+2
Answers (2)
  1. 28 March, 16:22
    0
    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
  2. 28 March, 17:04
    0
    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%)
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