anonymous one year ago Kimiko and Miko are playing a game in which each girl rolls a number cube. If the sum of the numbers is a prime number, then Miko wins. Otherwise Kimiko wins

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1. kropot72

What is the question that goes with the given information. Is it about probability of winning perhaps?

2. anonymous

Find the sample space. Then determine whether the game is fair

3. anonymous

4. kropot72

The sample space has 36 possible combinations of numbers. These can be set out in column form as follows: 6,6 5,6 4,6 3,6 2,6 1,6 6,5 5,5 4,5 3,5 2,5 1,5 6,4 5,4 4,4 3,4 2,4 1,4 6,3 5,3 4,3 3,3 2,3 1,3 6,2 5,2 4,2 3,2 2,2 1,2 6,1 5,1 4,1 3,1 2,1 1,1 Now you need to find the number of prime numbers that result from summing the 36 pairs. Let the number of primes be p. Then the probability of Miko winning is p/36 and the probability of Kimiko winning is $\large \frac{36-p}{36}$ Then you can compare the two values of probability and judge the fairness of the game.

5. anonymous

okay thank you

6. kropot72

You're welcome :)