SOLUTION: Suppose 11 manufacturers produce a certain microchip, whose quality varies from manufacturer to manufacturer. If you were to select 7 manufacturers at randon, what is the chance t
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Question 1125221: Suppose 11 manufacturers produce a certain microchip, whose quality varies from manufacturer to manufacturer. If you were to select 7 manufacturers at randon, what is the chance that the selection would contain exactly 2 of the best 3 Answer by ikleyn(52779) (Show Source):
You can select 7 manufactures from 11 manufactures by ways = = 330 ways.
It is your sample space, or space of events.
How many of them contain exactly 2 good of the best 3?
First, you can select 2 good manufactures from the best 3 by 3 ways.
Second, you can complement these 2 manufactures to 7 by adding 5 manufactures from 11-3 = 8 remaining manufactures,
and you can do it by ways = = 56 ways.
Thus 3*56 is the number of favorable choices.
Then the probability under the question is = 0.5091 = 50.91%. ANSWER
