SOLUTION: Hi can you help me with the following question and explain in simple language how you achieve the answer. Thank you in advance! Three dice are rolled. A) Find the probability o

Algebra ->  Probability-and-statistics -> SOLUTION: Hi can you help me with the following question and explain in simple language how you achieve the answer. Thank you in advance! Three dice are rolled. A) Find the probability o      Log On


   

Question 860787: Hi can you help me with the following question and explain in simple language how you achieve the answer.
Thank you in advance!
Three dice are rolled.
A) Find the probability of getting all sixes. (Enter your answer as a fraction.)
B) Find the probability of getting all the same outcomes. (Enter your answer as a fraction.)
C) Find the probability of getting all different outcomes. (Enter your answer as a fraction.)
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
A) Find the probability of getting all sixes. (Enter your answer as a fraction.)
1 way out of 6󬝲 possible ways = 1%2F6%5E3 = 1%2F216

B) Find the probability of getting all the same outcomes. (Enter your answer as a fraction.)
6 ways out of 6󬝲 possible ways = 6%2F6%5E3 = 1%2F6%5E2 = 1%2F36

C) Find the probability of getting all different outcomes. (Enter your answer as a fraction.)
The second die will not match the first roll 5%2F6ths of the time.
The third die will not match either the first or the second die 4%2F6ths 
of those time:

%285%2F6%29%284%2F6%29 = %285%2F6%29%282%2F3%29 = 10%2F18 = 5%2F9

Edwin