SOLUTION: Three components are randomly sampled, one at a time, from a large lot. As each component is selected, it is tested. If it passes the test, a success (S) occurs; if it fails the te

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Question 1114333: Three components are randomly sampled, one at a time, from a large lot. As each component is selected, it is tested. If it passes the test, a success (S) occurs; if it fails the test, a failure (F) occurs. Assume that 84% of the components in the lot will succeed in passing the test. Let X represent the number of successes among the three sampled components.
Find P(SFS) and P(SSF).
P(SFS) = and P(SSF) =
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
P%28S%29=0.84
So,
P%28F%29=0.16
.
.
.
P%28SFS%29=P%28S%29P%28F%29P%28S%29=%280.84%29%280.16%29%280.84%29
P%28SSF%29=P%28S%29P%28S%29P%28F%29=%280.84%29%280.84%29%280.16%29
Numerically they have the same value.