Saturday
May 25, 2013

# Homework Help: Math

Posted by A on Friday, November 16, 2007 at 6:45pm.

What is the probability of rolling at least one 6 with four rolls of a fair die?

• Math - Michael, Friday, November 16, 2007 at 7:38pm

Each time you roll, your probability of rolling a 6 is 1/6.

You have four rolls, so multiply by 4 to get 4/6, or 2/3.

• Math - Reiny, Friday, November 16, 2007 at 8:04pm

No Michael, that is not right

The key word is "at least one six", meaning it could be one six, two sixes, thre or four sixes.

What we don't want is NO sixes

So to calculate the prob of no sixes in 4 tries is (5/6)^4

So the prob of at least one six is
1 = (5/6)^4
= .5177

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