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Old 01-13-2007, 07:50 AM  
ucv.karl
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Join Date: Jul 2006
Location: Phx,Az
Posts: 498
The probablity of filliping a coin and getting 2 heads (HH) is:

(1/2)*(1/2)=1/4

Getting HT = (1/2)*(1/2)

Getting TH = (1/2)*(1/2)

Getting TT = HH = 1/4

So 50% of the time (1/4+1/4=1/2) you'll get the TH, HT combination and 25% of the time you'll get HH and 25% of the time you'll get TT.

Now just extending this to the problem from the initial post.

The probablity of getting 2 heads (HH) by rolling 2 times on this 5 sided dice is
(1/5)*(1/5)=(1/5)^2

The probablity of getting anything but heads (XXXXXX) and rolling 6 times is

(4/5)*(4/5)*(4/5)*(4/5)*(4/5)*(4/5)=(4/5)^6

Now the probablity of getting 2 out of 8 times of this 5 side dice is just
mutlitplying the above probabilities. (HHXXXXXX, where 'X' means anything but Heads)

=(1/5)^2 * (4/5)^6

I get the same answer as Myst.

(hopefully there aren't too many typos)
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Last edited by ucv.karl; 01-13-2007 at 07:53 AM..
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