SOLUTION: A fair die is rolled 6 times. What is the probability that a 3 is obtained on at least one of the rolls? Round your answer to three decimal places.

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Question 1135767: A fair die is rolled 6 times. What is the probability that a 3 is obtained
on at least one of the rolls? Round your answer to three decimal places.
Found 2 solutions by VFBundy, Edwin McCravy:
Answer by VFBundy(438) About Me  (Show Source):
You can put this solution on YOUR website!
Probability that a '3' is NOT obtained in any roll:
%285%2F6%29%5E6+=+0.3349
So, the probability that at least one '3' is rolled = 1+-+0.3349+=+0.6651

Rounded off to three decimal places, the answer is 0.665.

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
We first calculate the probability of the complement event, which is to 
roll one of these 5 {1,2,4,5,6} 6 times in a row.  The probability of
that is %285%2F6%29%5E6=0.3348979767

We subtract from 1 and get 0.6651020233 

OR:

On your TI-84 or TI-83 it's 6 trials, p=1/6, x value=0

binompdf(6,1/6,0)    <--find that @ 2ND VARS, scroll down to A:binompdf(

Press ENTER

0.3348979767

Subtract from 1,

0.6651020233

Edwin