SOLUTION: For the experiment of rolling an ordinary pair of dice, find the probability that the sum will be each of the following: 16. The first die is 2 or the sum is 6 or 7. 17.

Question 848951: For the experiment of rolling an ordinary pair of dice, find the probability that the sum will be each of the following:
16. The first die is 2 or the sum is 6 or 7.

17. The sum is 11 or the second die is 5.

Answer by swincher4391(1107) (Show Source): You can put this solution on YOUR website!
Sum table
2 3 4 5 6 7
3 4 5 6 7 8
4 5 6 7 8 9
5 6 7 8 9 10
6 7 8 9 10 11
7 8 9 10 11 12
16)
P[die is 2 or sum is 6 or 7] = P[1st die is 2] + p[sum is 6 or 7] - p[2 and sum is 6 or 7]
(2,4) (2,5) satisfy both conditions so P[first is 2 and sum is 6 or 7] = 2/36
P[sum is 6 or 7] = 13/36
1/6 + 13/36 - 2/36 =
17)
P[sum is 11] = 2/36
P[2nd die is 5] = 1/6
P[sum is 11 and 2nd die is 5] = 1/36 (5,6)
2/36 + 1/6 - 1/36 =

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