SOLUTION: bil and his brother is playing a board game . bill is currently 11 space from the finish line. if they only roll one dice per turn. what is the probability he will win in two turns
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Question 1029125: bil and his brother is playing a board game . bill is currently 11 space from the finish line. if they only roll one dice per turn. what is the probability he will win in two turns Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website! the dice has the numbers 1 through 6 on it.
in order to get to 11 or greater in 2 turns, he has to roll:
5 then 6 or 6 then 5 or 6 then 6.
the probability of any one number coming up is 1/6.
the probability of getting a 5 then a 6 is equal to 1/6 * 1/6 = 1/36.
the probability of getting a 6 then a 5 is equal to 1/6 * 1/6 = 1/36.
the probability of getting a 6 then a 6 is equal to 1/6 * 1/6 = 1/36.
the probability of getting a 5 then a 6, or a 6 then a 5, or a 6 then a 6, is equal to 1/36 + 1/36 + 1/36 = 3/36 = 1/12.
