Pat wants to select 8 pieces of fruit to bring in the car for the people he's driving to Montana with. He randomly chooses each piece of fruit to be an orange, an apple, or a banana. What is the probability that either exactly 3 of the pieces of fruit are oranges or exactly 6 of the pieces of fruit are apples?

Question

Mathematics

Angelique Meyers

28 June, 16:56

Pat wants to select 8 pieces of fruit to bring in the car for the people he's driving to Montana with. He randomly chooses each piece of fruit to be an orange, an apple, or a banana. What is the probability that either exactly 3 of the pieces of fruit are oranges or exactly 6 of the pieces of fruit are apples?

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Answers (1)

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Immanuel · Answer 1

a) The probability that exactly 3 of the pieces of fruits are oranges is 3.70%

b) The probability that 6 of the pieces of fruits are apples is 0.13%

Step-by-step explanation:

There are 6561 ways of combinations for the fruits (3 to the 8=6561)

a) 243*100/6561=3.70

b) 9*100/6561 = 0.13