A three-dice is a six sided dice with only the numbers 1, 2 and 3. The usual num

Question

A three-dice is a six sided dice with only the numbers 1, 2 and 3. The usual numbers 4, 5 and 6 are replaced by 1, 2 and 3 respectively.

4 three-dice (with sides labeled 1, 2, and 3) are rolled and the numbers face up on the 4 dice are recorded. Give the sample space for this experiment. What is the probability that at least one of the dice rolled is showing a 2?

What is the probability that at least one of the dice rolled is showing a 2? ____?

What is the probability that at least one of the dice rolled is showing a 3? ___?

Explanation / Answer

P(showing 1) = P(showing 2) = P(showing 3) = 1/3 = 0.33

a) P(at least one dice showing 2) = 1 - P(none of dice showing 2)

                          = 1 - (2/3)4

                          = 65/81 or 0.8025

b) P(at least one dice showing 3) = 1 - P(none of dice showing 3)

                          = 1 - (2/3)4

                          = 65/81 or 0.8025

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