Question

A pair of fair dice is rolled. What is the probability of each of the following? (Round your answers to three decimal places.)

(a) the sum of the numbers shown uppermost is less than 4


(b) at least one 6 is cast

Answer 1

Well what is our sample space? How many sample points do we have. Well, we know since there are 6 sides to a die, that there are 36 possibilities for a single roll of two die.

Answer 2

Any combination of numbers greater than 4 will always have a sum greater than 4. So basically, all we have to do for (a) is count the number of possibilities that have a sum of 4 and whose elements are less than 4.

Answer 3

Does this make sense?

Answer 4

yes, thank you!

Answer 5

Great! Do you think you know how to do (b)?

Answer 6

yes. i got 0.306, is this correct?

Answer 7

Hold on.

Answer 8

What numbers did you divide to get .306?

Answer 9

11/36

Answer 10

Shouldn't we have 12 since we have (1,6), (2,6), (3, 6), (4,6) , (5,6) , (6, 6) plus each one of these rearranged?

Answer 11

What I mean is, did you count (6, 6) and (6, 6) since dice 1 could be 6 and dice 2 could 6

Answer 12

Never mind. I think you are correct.

Answer 13

okay thanks! i wasn't sure :)

Answer 14

Good luck. Just remember to count the number of possibilities. See ya