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.
If 1 die shows a 4, what restrictions do we have on the other dice to ensure the sum is even?
3/6
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? \[P(\text{A AND B}) = P(A) \times P(B)\]
1/6
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 ?
1/12?
Correct.
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
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