Math Games

Archive for October, 2009

Question: SOMEONE PLEASE HELP ME ON THIS MATH PROBLEM !?

okay i have like tests all next week , and i seriously dont get probability
heres the problem :

Yahtzee is a popular game involving five dice . It is similar to a Puerto Rican dice game called Generala . In both games players try to roll five of a kind. In generala to roll five of a kind in one roll is called a big general and wins the game automatticly . Find the probability of throwing a big general .

-the answer in the back of my book is , 1 over 1296 // how in the world did they get the 1296 , so help help help.

Answer: Each die can have six possible outcomes: 1, 2, 3, 4, 5, 6
You have five dice.
So the possibility of all outcomes is 6 x 6 x 6 x 6 x 6.
7,776 combinations.

Six possible outcomes (11111, 22222, 33333, etc.) divided by
7776 combinations equals
6:7776 or 1:1296 or 0.0771604938 % !

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Question: Are there any math buffs out there who can figure this out?

{Ai,j} = n*{Hi,j} + {Li,j}

It's got me puzzled - that's for sure. I found it at the bottom of a page in a puzzle game I play (usually word puzzles) and I think it is a clue.
I honestly have no clue what to look for in this. Unless it is A=This, J=This, L=That - I am horrible at math. I can never find that dang X.

Answer: I think this is a matrix computation.

A, H and L are matrices of the same size.
The (i,j) entry of A is obtained by getting the (i,j) entry of H, multiplied by n, then combined with the (i,j) entry of L .

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