The fruit basket at a summer camp contained 4 oranges and 5 apples. Carlos chose 1 piece of fruit at random from the basket and gave the fruit to his friend Duncan. Then Carlos reached in again and chose another piece of fruit at random for himself. What is the probability that Duncan received an orange and that Carlos then received an apple? Express your answer in simplest form.

Question

Mathematics

Pudge

25 December, 09:58

The fruit basket at a summer camp contained 4 oranges and 5 apples. Carlos chose 1 piece of fruit at random from the basket and gave the fruit to his friend Duncan. Then Carlos reached in again and chose another piece of fruit at random for himself. What is the probability that Duncan received an orange and that Carlos then received an apple? Express your answer in simplest form.

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Wrinkles · Answer 1

4 + 5 = 9 total pieces of fruit to start with

Prob of an orange = 4 / 9

now only eight pieces of fruit left!

Prob of an apple = 5 / 8

Probability of both = 4/9 x 5/8 = (4 x 5) / 9 x 8) = 20/72 = 10/36 = 5/18