Quote:
Originally Posted by Csaba
How would I work out the combined odds of two dependent events in a football match?
For example:
Win + both teams to score is priced at 15/2
Win to nill is priced at 13/2
What are the combined odds? Obviously both events can't happen so it's effectively the same as betting on the team to win.
Thanks in advance if anyone can help.
Well, as you yourself suggest, combining the odds will simply reflect the odds of the team in question winning.
Prob (Team A wins) = Prob (Team A wins and Team B does not score) + Prob (Team A wins and Team B scores)
So, using the odds you provide:
Prob (Team A wins) = 2/17 + 2/15 *
= 64/255
*We can do this because the 2 events form a partition of "Team A wins".