You are rolling two dice at the same time. What is the probability

5: 1/9 9: 1/9 First, we can take a look at all of the 36 possible outcomes of rolling two dice. Remember, the two results are independent. Possibility of 5 We can check the table to see which results sum to 5. (4,1) (1,4) (3,2) (2,3) We could do this even without the table because of an understanding of the numbers that sum to 5. There are 4 possibilities that sum to 5 out of the total 36 possibilities. The probability is 4/36 or 1/9. Possibility of 9 We can apply the same principles as before to this problem. Checking the table, we see that the following sum to 9. (6,3) (3,6) (5,4) (4,5) There are other combination that sum to 9, such as (7,2), but they exceed the limits of the dice. Therefore, we again have 4 possibilities and a 1/9 probability.

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Chapter 6

Unit 6 Section 3 : The Probability of Two Events

Probability for Rolling Two Dice, Sample Space for Two Dice

Ex: Find the Probability of a Sum of 7 Using Two Dice

Two dice are thrown at the same time. Find the probability of

Two dice are rolled. Determine the probability of each of th

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