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.
Algebra ->
Probability-and-statistics
-> 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.
Log On
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.
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 =