You roll two fair dice, a green one and a red one. (a) what is the probability of getting a sum of 7? (enter your answer as a fraction.) 1/6 correct: your answer is correct. (b) what is the probability of getting a sum of 11? (enter your answer as a fraction.) 1/18 correct: your answer is correct. (c) what is the probability of getting a sum of 7 or 11? (enter your answer as a fraction.) 2/9 correct: your answer is correct. are these outcomes mutually exclusive?

a) 0.167  b)0.056  c)0.023

Step-by-step explanation:

We are given the following information:

Sample space = {(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)

                            (2,1),(2,2),(2,3),(2,4),(2,5),(2,6)

                            (3,1),(3,2),(3,3),(3,4),(3,5),(3,6)

                            (4,1),(4,2),(4,3),(4,4),(4,5),(4,6)

                            (5,1),(5,2),(5,3),(5,4),(5,5),(5,6)

                            (6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}

Total number of outcomes = 36

Formula:

a) P(sum is 7)

Sum 7 possible outcomes = {(1,6), (2,5), (3,4), (4,3), (5,2), (6,1)}

b) P(sum is 11)

Sum 11 possible outcomes = {(5,6), (6,5)}

c) P( sum is 7 or sum is 11)

256π units²   (answer b)

step-by-step explanation:

the formula for the surface area of a sphere of radius r

is             a = 4πr²

and so, if r = 8 units, then the surface area is:

a = 4π(8 units)² = 256π units²   (answer b)