Probability Let\'s analyze a classic Sacramento State gambling game called \"Gun

Question

Probability

Let's analyze a classic Sacramento State gambling game called "Gunchy Dice". "Joe Gunchy" is the world's worst programmer (he's theoretical – no one has ever met him). The game "Gunchy Dice is gambling at its purest and simplest form – just dumb luck. This is how the game it is played: • The player rolls a die. • The house roles a die. • If the player's dice has a larger value, then they win! • Otherwise, the house wins. If both dice have the same value, the house wins! So, what is the chance of winning? Compute the probability of throwing a winning value. Hint: don't use permutations or combinations. Make a table and count.

Explanation / Answer

        

                        

                          

          

        

total chances are 36

chances for h=21

chances for p =15

probability of h winning = chances for h /total chances= 21/36=0.58

probability of p winning=chances for p/total chances=15/36=0.41

player(p) house(h) winner 1 6 h 1 5 h 1 4 h 1 3 h 1 2 h 1 1 h 2 6 h 2 5 h 2 4 h 2 3 h 2 2 h 2 1 p 3 6 h 3 5 h 3 4 h 3 3 h 3 2 p 3 1 p 4 6 h 4 5 h 4 4 h 4 3 p 4 2 p 4 1 p 5 6 h 5 5 h 5 4 p 5 3 p 5 2 p 5 1 p 6 6 h 6 5 p 6 4 p 6 3 p 6 2 p 6 1 p

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