anonymous
  • anonymous
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
Mathematics
jamiebookeater
  • jamiebookeater
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kropot72
  • kropot72
What is the question that goes with the given information. Is it about probability of winning perhaps?
anonymous
  • anonymous
Find the sample space. Then determine whether the game is fair
anonymous
  • anonymous
and it is about probability

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kropot72
  • 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.
anonymous
  • anonymous
okay thank you
kropot72
  • kropot72
You're welcome :)

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