Answer to Question #176064 in Statistics and Probability for Alfie Gallos

Question

If two dice are rolled,which of the following is not a possible outcome of the random variables X: total number of dots facing up?

Answer 1

When 2 dice are thrown, the total number of dots will be $6^2=36$ like

X= {(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)}

Any other outcome apart from this is not a possible outcome of random variable X.