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The probability that each roll will be a 1, is 1/6 (a sixth) because there is one outcome of interest (getting a 1) and 6 possible outcomes (6 numbers on the die).

Probability rules mean that if you want the probability of getting outcome A and getting outcome B then the total probability is P(A) x P(B) where P(A) means the probability of getting outcome A).

In short if you want P(A and B) then this is P(A) x P(B)

Applied to this example if you want the probability of getting a 1 on each throw of the die (i.e. on all 3 throws) then the probability is given by:

P(1 on all three rolls) = P(1 on first roll) x P(1 on second role) x P(1 on third role)

P(1 on all three rolls) = 1/6 x 1/6 x 1/6

P(1 on all three rolls) = 1 / 216

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14y ago

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