Question by Lovely Lees: What is the probability of rolling a four in the gambling dice game of craps?
What is the probability of rolling a four in the gambling dice game of craps (given two six sided dice)? 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)?
If possible, please list the formula that was used to come up with your answer.
Best answer:
Answer by s
Trying to do this problem you have to understand complementary events.
For a single dice rolling a 4 is a 1/6 chance
NOT rolling a 4 is the complementatry event and is the leftovers or 5/6
To roll a 4 at all in two dice is the complementary event of NOT rolling a 4
so in 2 dice NOT rolling a 4 is (5/6)*(5/6) = 25/36
so there are 11 leftovers in the 36 rolls, or 11/36 ways you will roll a 4
to do so 3 turns in a row is (11/36)*(11/36)*(11/36) = 1331 / 46656 = 0. 0285328 or 2.85% chance
Know better? Leave your own answer in the comments!