Question

What is the probability of rolling a four given two six sided dice?3/36

What is the probability that a player can roll a four 3 times in a row (assume that rolling the dice each time does not affect the outcome of the next roll)?

Answer 1

the probiblty is that u have a 1 in 12 cahnce of getting it so the odds are stacked against u. the problibality is 1 in 6 chance

Answer 2

You have the right idea for the first part. There are three ways to add to 4, and those ways are: 1+3 = 4, 2+2 = 4, and 3+1 = 4. This is out of 6*6 = 36 ways to roll two dice. That leads to 3/36. You then reduce the fraction 3/36 to get 1/12. Divide both parts by 3 to reduce.

So the first answer is 1/12

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The first answer is used to help find the second answer. The probability of getting a single "4" is 1/12, so the probability of getting three "4"s in a row is (1/12)^3 = (1/12)*(1/12)*(1/12) = 1/1728

Second answer is 1/1728