2. A vegetable basket contains 12 peppers, of which 3 are red,4 are green and 5 are yellow. Three peppers are taken at random without replacement from the basket. a) Find the probability that the three pepper are all different colours. b) Show that the probability that exactly 2 of the pepper taken are green is 12/55. c) The number of green peppers are taken is denoted by the discrete random variable Draw up a probability distribution table for X.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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2. A vegetable basket contains 12 peppers, of which 3 are red,4 are green and S5 are yellow. Three
peppers are taken at random without replacement from the basket.
a) Find the probability that the three pepper are all different colours.
b) Show that the probability that exactly 2 of the pepper taken are green is 12/55.
c) The number of green peppers are taken is denoted by the discrete random variable Draw up a
probability distribution table for X.
Transcribed Image Text:2. A vegetable basket contains 12 peppers, of which 3 are red,4 are green and S5 are yellow. Three peppers are taken at random without replacement from the basket. a) Find the probability that the three pepper are all different colours. b) Show that the probability that exactly 2 of the pepper taken are green is 12/55. c) The number of green peppers are taken is denoted by the discrete random variable Draw up a probability distribution table for X.
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