Find the sample space. Then find the indicayed probability (dunno what indicated probability is).

Question

Alana tosses 2 nimber cubes (dice). She wins if she rolls double sixes. Find P(Alana wins).

Answer 1

It looks like "indicated probability" is just meaning P(Alana wins). It's probably a generic, all-purpose question tag for lots of different types of probability questions.

So if you roll a pair of dice, there are 6² possibilities, or 36. It's possible to make a 6 X 6 chart to show all possible rolls. That seems to be to be what they mean by sample space.

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

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

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

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

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

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

Of these 36 possibilities, only 1 is double sixes, so the probability that Alana wins is 1/36.