Question 830625
Q:
There are 12 items, 2 of which are special. An individual chooses 3 items.
a)Probability of getting exactly 1 special item?
b)What is the probability that the individual gets at least one special item?
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A:
This is a hypergeometric distribution problem.
a. P(X = 1) = {{{(matrix(2,1,2,1))(matrix(2,1,10,2))/((matrix(2,1,12,3)))}}} = {{{highlight(9/22)}}}
b. P(X ≥ 1) = {{{(matrix(2,1,2,1))(matrix(2,1,10,2))/((matrix(2,1,12,3))) + (matrix(2,1,2,2))(matrix(2,1,10,1))/((matrix(2,1,12,3)))}}} = {{{highlight(5/11)}}}