Posted by **mary** on Sunday, March 18, 2012 at 7:25pm.

Consider a game where Ann and Bob play against each other in a dice game, Ann wins if her score is higher than Bob's, Bob wins if his score is higher or if the scores are the same. What is the probability of Ann winning? I calculated and got 1 - summation from 1 to 6 of n over 36 which gave me 15/36.

Now if Ann can roll a second time what is the probability that she will win?I calculated and got 1 - summation from 1 to 6 of n^2/216 which got me 125/216

Finally if Ann can roll twice and Bob rolls twice what is the probability that Ann will win? Again I calculated and got 1 - summation from 1 to 6 of (n^2)(2n-1) over 1296 which got me the answer 505/1296. Now my question how do I calculate the probability in further cases where Ann and Bob roll n times, by finding a general formula?

## Answer This Question

## Related Questions

- Math - Anna and bob play a game in which Anna begins by rolling a fair dice, ...
- Math/Probability - Anna and bob play a game in which Anna begins by rolling a ...
- linear algebra - Bob and Doug play a lot of Ping-Pong, but Doug is a much better...
- Physics - A cross country team race is about to begin and team Delta decides to ...
- statisitics - ƒæ Bob takes an online IQ test and finds that his IQ according to ...
- Q. Research - 3. Bob takes an online IQ test and finds that his IQ according to ...
- Foreign languages - Can you check these last sentences on the same theme? Thank ...
- Statistics - Bob takes an online IQ test adn finds that his IQ according to the ...
- math - Ann and Bob are cycling on a track. Ann completes one lap every 15 ...
- math - Bob has twice as much money as Kenny. Steven has $78 more than Bob. Ann ...

More Related Questions