In answering the questions in problem (1). (2). (3). you need to write down the

Question

In answering the questions in problem (1). (2). (3). you need to write down the sampling space ohm and the subset representing the event. You calculate the probability lot event A using P(A) = n(A)/n(ohm) as I did inside the class. Also tree diagram can be quite helpful. You may need to use A B an A B to answer some questions.) When rolling a die once, What is the probability of having 1? What is the probability of having an even number? When rolling a die twice, what is the probability of having 1 up during the first roll? what is the probability of having 2 up during the second roll? what is the probability of having 1 up during the first roll and 2 up during the second roll? What is the probability of getting a sum of 7 on the roll of 2 dice?

Explanation / Answer

S = {1, 2, 3, 4, 5, 6}, n(S) = 6

(a) n(A) = 1, Probability = 1/6

(b) n(A) = 3, Probability = 3/6 = 1/2

S = {(1, 1) (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1) ... (6, 5), (6, 6)}, n(S) = 36

(c) n(C) = 6, Probability = 6/36 = 1/6

(d) n(D) = 6, Probability = 6/36 = 1/6

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