Question

You roll 2 dice. What is the probability that the sum of the dice is even and 1 die shows a 4? A 6 X 6 table of dice outcomes will help you to answer this question.

Answer 1

If 1 die shows a 4, what restrictions do we have on the other dice to ensure the sum is even?

Answer 2

3/6

Answer 3

Right, the other dice must show an even number. Which has a 50% chance. (3/6 = 1/2 = 50%)

And what are the odds of rolling a 4 on one die?

\[P(\text{A AND B}) = P(A) \times P(B)\]

Answer 4

1/6

Answer 5

Right. So if the first event has probability 1/6 and second event has probability 1/2 What is the probability to get A AND B ?

Answer 6

1/12?

Answer 7

Correct.

Answer 8

If you buy a raffle ticket and there is only one prize available, you can double your probability of winning that prize by buying two tickets.

true or false