SOLUTION: Is it known that in a ball bearing factory that the probability of the diameter of a bearing falling outside the required tolerance levels is 0.09. If three bearings are chosen at

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Question 1002988: Is it known that in a ball bearing factory that the probability of the diameter of a bearing falling outside the required tolerance levels is 0.09. If three bearings are chosen at random from the total daily output, find the probability that exactly one of the chosen bearings is outside the required tolerances using a probability tree diagram

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Choose first;;;;;;;;;G(0.91)
G(0.91)---G(0.91) B(0.09)
==== ;;;;;B(0..09)G(0.91)
====;;;;;;;;;;;;;;;;;;;;B(0.09)
B(0.09)---G(0.91)G(0.91)
========== == B(0.09)
==== ;;;;;B(0..09)G(0.91)
----------------- B(0.09
The probability of exactly 1 is 0.91^2(0.09)*3
That is 0.2236