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Please solve problem. Thanks.
Suppose that you toss a coin and roll a die. The sample space is shown in the figure below.
(a) What is the probability of obtaining tails and a five? (Enter the probability as a fraction.)
(b) What is the probability of obtaining tails or a five? (Enter the probability as a fraction.)
(c) What is the probability of obtaining heads and a two? (Enter the probability as a fraction.)
Solution
1. sample space , S = 12
so P(obtaining tails and a five) = 1/12
2 . P(obtaining tails or a five) = 1/2 + 1/6
= 2/3
3. P(obtaining heads and a two) = 1/2 * 1/6
= 1/12

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Please solve problem. Thanks.Suppose that you toss a coin and .pdf

  • 1. Please solve problem. Thanks. Suppose that you toss a coin and roll a die. The sample space is shown in the figure below. (a) What is the probability of obtaining tails and a five? (Enter the probability as a fraction.) (b) What is the probability of obtaining tails or a five? (Enter the probability as a fraction.) (c) What is the probability of obtaining heads and a two? (Enter the probability as a fraction.) Solution 1. sample space , S = 12 so P(obtaining tails and a five) = 1/12 2 . P(obtaining tails or a five) = 1/2 + 1/6 = 2/3 3. P(obtaining heads and a two) = 1/2 * 1/6 = 1/12