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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. Otherwise Kimiko wins. Find the sample space. how do you do this idk how to do this

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  1. kropot72
    • one year ago
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    http://openstudy.com/study#/updates/5580b809e4b0e4e582ab189b

  2. ybarrap
    • one year ago
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    The sum of two dice: 1 2 3 4 5 6 +------------------- 1 | \(\color{red}2\) \(\color{red}3\) 4 \(\color{red}5\) 6 \(\color{red}7\) 2 | \(\color{red}3\) 4 \(\color{red}5\) 6 \(\color{red}7\) 8 3 | 4 \(\color{red}7\) 6 \(\color{red}7\) 8 9 4 | \(\color{red}5\) 6 \(\color{red}7\) 8 9 10 5 | 6 \(\color{red}7\) 8 9 10 \(\color{red}{11}\) 6 | \(\color{red}7\) 8 9 10 \(\color{red}{11}\) 12 Count all \(\color{red}{\bf{Reds}}\), those are the prime numbers, \(p\) Count all the possibilities, 36 $$ P(Miko~wins)=\cfrac{p}{36}\\ P(Kimiko~wins)=1-\cfrac{p}{36}\\ $$ Miko wins if \(P(Miko~wins)>P(Kimiko~wins)\) That's it!

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