SOLUTION: You toss a fair 6-sided die 5 times. Find the probability that a three is never rolled.

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Question 388086: You toss a fair 6-sided die 5 times. Find the probability that a three is never rolled.
Found 2 solutions by ewatrrr, solver91311:
Answer by ewatrrr(24785) (Show Source):
You can put this solution on YOUR website!
Note: The probability of x successes in n trials is:
P = nCx* where p and q are the probabilities of success and failure respectively. In this case p = 1/6 and q = 5/6
nCx =
P(0 successes out of five rolls) = (5/6)^5 = .4019

Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

The probability of successes in trials where is the probability of success on any given trial is given by:

Where is the number of combinations of things taken at a time and is calculated by

You want , , and , so:

Note that and

So the calculation reduces to:

A little calculator work and you are there.

John

My calculator said it, I believe it, that settles it