SOLUTION: 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 rolli

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 ----------------- ___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.

RELATED QUESTIONS
Dice have been used for gaming since ancient times. Many tables games today use standard... (answered by stanbon)
What is the probability of getting an 11 when you roll two fair six-sided... (answered by bucky)
What is the probability you roll a number bigger than 4 on a six-sided... (answered by ikleyn)
You roll two six-sided dice. What is the probability that the sum is a multiple of 2 or a (answered by greenestamps)
What is the probability of getting a "6" if I roll a fair six sided... (answered by deborabr)
You roll two six-sided dice, What is the probability that the sum will be odd or a... (answered by solver91311)
You roll two six-sided dice. What is the probability that the sum will be odd or a... (answered by themasterofcircuits)
If you roll two six-sided dice, what is the probability that the sum is 6 or 7? Your... (answered by Edwin McCravy)
You roll two six-sided dice. What is the probability that the sum is odd or a multiple of (answered by reviewermath)