Question by Emc2: Probability: 7 Soccer Game bet -How do i find out the combinations for win/lose to add up to 2187 permutations
Soccer game betting consists of: Home, Draw & Away.
The permutations for this bet is picking 7 Games to the power of
3 possible outcomes = 2187 permutations.
Whats are the combinations of getting 0,1,2,3,4,5,6,7 games right & wrong in any order out of 7 games to add up to 2187 permutations?
Best answer:
Answer by crazydave
Since there are 3 possibilities for each of the 7 games, there are 2187 possible outcomes. 3 to the 7th power is the way to calculate the result.
To make a chart of each possible combination would be time consuming, but could be done by making a tree, with the first game at the top;
WIN LOSE DRAW
/ | \ / | \ / | \
W L D W L D W L D
etc., etc., etc
then branching off the three possible results of the next game off each possibility, then repeating the process for all seven games.
Edit: Jesse– The question wasn’t about the proabablility of each result, just the way to figure out all the possible combinations.
What do you think? Answer below!