1) The probability that the sum of the spots on the up-faces is 7 : 1/6
2)the probability that the sum of the spots on the up-faces is 11 : 1/18
3) the probability that the sum of the spots on the up-faces is 7 or 11: 2/9
For the experiment of rolling two Casino dice,
Let event A: the sum of the spots on the up-faces is 7
We have 1+6, 2+5, 3+4, 4+3, 5+2, 6+1
There are 6 ways for this to happen. so,
P(A) = 6/36
P(A) = 1/6
event B: the sum of the spots on the up-faces is 11
We have 5 + 6, 6 + 5
There are 2 ways for this to happen, therefore,
P(B) = 2/36
P(B) = 1/18
We need to find the probability that the sum of the spots on the up-faces is 7 or 11
P(A or B) = P(A) + P(B)
= 6/36 + 2/36
= 8/36
= 2/9
Therefore, the probability that the sum of the spots on the up-faces is 7 : 1/6
the probability that the sum of the spots on the up-faces is 11 : 1/18
the probability that the sum of the spots on the up-faces is 7 or 11: 2/9
Learn more about the probability here:
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