1. ## Face Off

Alf has in his possession 2 mad dice. They are normal in every respect except that one face on each dice is wrong: it is a replica of another face. In other words, 2 faces have the same number of spots.

He has calculated the probability of arriving at the sum of the dice when rolled. Your task, if you choose to accept it, is to work out the numbers on the faces of each die.

4 - 0.027777778
5 - 0.055555556
6 - 0.111111111
7 - 0.166666667
8 - 0.194444444
9 - 0.194444444
10 - 0.138888889
11 - 0.083333333
12 - 0.027777778

2. ## Re: Face Off

<span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">One die contains 2,3,4,4,5,6 and the other 2,3,4,5,5,6.</span hide>

3. ## Re: Face Off

<span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">Excellent reponse, Hans.</span hide>

4. ## Re: Face Off

That makes it much clearer <img src=/S/shrug.gif border=0 alt=shrug width=39 height=15>

5. ## Re: Face Off

I don't believe that this little offering is above you, Jerry. I was trying to imply that Hans used Excel to help him since that's the way I created it. I am probably wrong, however. <img src=/S/cheers.gif border=0 alt=cheers width=30 height=16>

6. ## Re: Face Off

Well, I have my Excel sheet out and got my probabilities sussed, just getting grips with the calcs

7. ## Re: Face Off

<span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">I used Excel to display the probabilities as fractions and to check that they added to 1, this made the answer more or less obvious.</span hide>

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