Consider rolling 2 dice and summing the resulting values. Whatis the sample spac

Question

Consider rolling 2 dice and summing the resulting values. Whatis the sample space? What is the probability of each outcome? Whatis the probability of getting a 6 or a 9? I have tried the number graph, bayes thereom and havecompletely confused myself. I came up with 1/3 and 4/9 for the'what is the probability of getting a 6 or 9.' Any help would bevery much appreciated. Thank you. Consider rolling 2 dice and summing the resulting values. Whatis the sample space? What is the probability of each outcome? Whatis the probability of getting a 6 or a 9? I have tried the number graph, bayes thereom and havecompletely confused myself. I came up with 1/3 and 4/9 for the'what is the probability of getting a 6 or 9.' Any help would bevery much appreciated. Thank you.

Explanation / Answer

Sample space = {2,3,4,5,6,7,8,9,10,11,12} 1 2 3 4 5 6 1 2 3 4 5 6 7 2 3 4 5 6 7 8 3 4 5 6 7 8 9 4 5 6 7 8 9 10 5 6 7 8 9 10 11 6 7 8 9 10 11 12 You can calculate the probability of each outcome by chartabove P(2) = 1/36 P(3) = 2/36 = 1/18 P(4) = 3/36 = 1/12 P(5) = 4/36 = 1/9 P(6) = 5/36 P(7) = 6/36 P(8) = 5/36 P(9) = 4/36 P(10) = 3/36 = 1/12 P(11) = 2/36 = 1/18 P(12) = 1/36 Probability getting a 6 or 9 = P(6) + P(9) = 5/36 + 4/36 = 9/36 =1/4 Hope this helps!

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