Question

Two 6-sided dice, one red and one green, are rolled. What is the probability that the red die shows a 2 and the green die shows a 5

Answer 1

The probability that the red die shows a 2 and the green die shows a 5 is 1/36

How to determine the probability that the red die shows a 2 and the green die shows a 5?

The sample space of a die is

S = {1, 2, 3, 4, 5, 6}

This means that

Red die = {1, 2, 3, 4, 5, 6}

Green die = {1, 2, 3, 4, 5, 6}

On the dice, we have

P(Red = 2) = 1/6

P(Green = 5) = 1/6

The probability that the red die shows a 2 and the green die shows a 5 is

P = P(Red = 2) * P(Green = 5)

Substitute the known values in the above equation

P = 1/6 *1/6

Evaluate the product

P = 1/36

Hence, the probability that the red die shows a 2 and the green die shows a 5 is 1/36

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