Respuesta :

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:

https://brainly.com/question/3679442

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