Two balanced dice are rolled. let S be the random variable denoting the sum of the number of dots that will appear. determine the possible values of the random variable S.
Answers
2,3,4,5,6,7,8,9,10,11,12
possible values of the random variable S = { 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12} is S denotes the sum of the number of dots that will appear on two balanced dice
Step-by-step explanation:
Two Dice can be thrown in 6 * 6 = 36 Ways
Sum Cases Probability
2 1+1 1/36
3 1+2 , 2 + 1 2/36 = 1/18
4 1+3 , 2 +2 , 3 + 1 3/36 = 1/12
5 1+4 , 2 +3 , 3 + 2 , 4 + 1 4/36 = 1/9
6 1+5 , 2 +4 , 3 + 3 , 4 + 2 , 5 + 1 5/36
7 1+6 , 2 +5 , 3 + 4 , 4 + 3 , 5 + 2 , 6 + 1 6/36 = 1/6
8 2+6 , 3 +5 , 4 + 4 , 5 + 3 , 6 + 2 5/36
9 3+6 , 4 +5 , 5 + 4 , 6 + 3 4/36 = 1/9
10 4+6 , 5 +5 , 6 + 4 3/36 = 1/12
11 5+6 , 6 + 5 2/36 = 1/18
12 6+6 1/36
possible values of the random variable S = { 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12}
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