Red Die

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Conditional Probability: You roll a red die and a green die. What is the size of the sample space...?

of all possible outcomes of rolling these two dice, given that the red die shows a prime number?

Well, what prime numbers are below 6?

2, 3 and 5.

So there are three numbers that the red die can show, and the green die can show anything, so there are 6 numbers that it can show.

So the size of the sample space is 3 x 6 = 18.