SOLUTION: I am not sure how to solve this problem. I'd appreciate the help, thank you!! "A scoring possibility in a game of Yahtzee with five 6-sided dice is called a "three of a kind," w

Question 536921: I am not sure how to solve this problem. I'd appreciate the help, thank you!!
"A scoring possibility in a game of Yahtzee with five 6-sided dice is called a "three of a kind," where three numbers are the same and the remaining two numbers are both different (eg: 5 5 5 1 4 or 2 5 2 3 2). Find the probability of rolling a three of a kind.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
"A scoring possibility in a game of Yahtzee with five 6-sided dice is called a "three of a kind," where three numbers are the same and the remaining two numbers are both different (eg: 5 5 5 1 4 or 2 5 2 3 2). Find the probability of rolling a three of a kind.
---
Pick a number: 6 ways
Pick 3 of that number on 5 dice: 5C3 = 10 ways
Pick another number: 5 ways
Pick yet another number: 4 ways
Total # of ways to succeed: 6*10*5*4 = 1200
---
# of possible outcomes: 6^5 = 7776
---
Probability of "three of a kind" = 1200/7776 = 0.1543
=======================================
Cheers,
Stan H.
RELATED QUESTIONS
Basketball Scoring: In a recent game of the 2004-2005 basketball season, the San Antonio... (answered by stanbon)

Tutor, I was wondering if you could help me with this problem? Find the equation (answered by stanbon)

Dear tutor, I am having a problem with this question. any help is really appreciated.... (answered by rothauserc)

I need some help in trying to figure out how to write this problem with positive... (answered by algebrahouse.com)

I am not sure how to write this problem; I need help with the steps to figure the... (answered by checkley71)

Hi, I am having a very hard time solving this stats problem and if someone could give me... (answered by stanbon)

Find the numerator: (3m+6)/(m^2-m)=(?)/(m^3-5m^2+4m) I have a problem asking me to... (answered by stanbon,MathTherapy)

Hi, I was wondering if someone could help me with this problem. I am told to expressthe... (answered by mathie123)

1) ask 34 menif they watch professional football games. Use a .05 significance level to... (answered by Boreal)