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hmwrk dice

# hmwrk dice - Paige Sprague NRM 3308 Spring 2009 Homework...

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Paige Sprague NRM 3308 Spring 2009 Homework Assignment You have a pair of dice---one is red and the other is green. As you roll the pair of dice you will denote the outcomes by (red, green) such as (5,2) where you had a five on the red die and a 2 on the green die. 1. List the sample space of the 36 possible outcomes for the two dice. (1,1),(1,2),(1,3),(1,4),(1,5),(1,6) (2,1),(2,2),(2,3),(2,4),(2,5),(2,6) (3,1),(3,2),(3,3),(3,4),(3,5),(3,6) (4,1),(4,2),(4,3),(4,4),(4,5),(4,6) (5,1),(5,2),(5,3),(5,4),(5,5),(5,6) (6,1),(6,2),(6,3),(6,4),(6,5),(6,6) 2. Let A be the event that you roll doubles (that is you have the same number on each of the two die on a given roll). List the outcomes in A and find its probability. (1,1),(2,2),(3,3),(4,4),(5,5),(6,6) = 6/36= 1/6= .17 3. Let B be the event that the sum on the pair of dice is equal to 7. Find P(B). (6,1),(1,6),(5,2),(2,5),(4,3),(3,4)= 6/36=1/6= .17 4. Find the probability of: A and B= .17x.17= .03 A or B= .17+.17= .34 B given A= (0)/(.17)= 0

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Paige Sprague 5. Are events A and B independent, or disjoint, or neither?
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hmwrk dice - Paige Sprague NRM 3308 Spring 2009 Homework...

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