Question 1196847: Many board games involve a roll of two six-sided dice to see how far you may move your pieces.
a) What is the probability of rolling a 9?
b) What is the probability of rolling doubles?
Found 2 solutions by greenestamps, ewatrrr:
Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!
Total number of possible outcomes: 6 possible outcomes on each die, so 6*6 = 36.
Ways to get a 9: 6+3, 5+4, 4+5, 3+6. (4)
Ways to get doubles: 1+1, 2+2, 3+3, 4+4, 5+5, 6+6. (6)
Basic definition of probability: (# of good outcomes) divided by (total # of possible outcomes)
ANSWERS:
P(9) = 4/36 = 1/9
P(doubles) = 6/36 = 1/6
Answer by ewatrrr(24785)  (Show Source):
You can put this solution on YOUR website!
Hi
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___1__2__3__4__5__6
1|_2__3__4__5__6__7
2|_3__4__5__6__7__8 P(9) ?? Count Them
3|_4__5__6__7__8__9 P(9) = 4/36 = 1/9
4|_5__6__7__8__9__10
5|_6__7__8__9__10_11
6|_7__8__9_10__11_12
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6) P(rolling doubles)?? Count Them
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6) P(rolling doubles) = 6/36 = 1/6
(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)
Wish You the Best in your Studies.
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