184k views
4 votes
If you are given odds of 5 to 6 in favor of winning a bet, what is the probability of winning the bet?

1 Answer

2 votes

5 to 6 odds means that, out of 11 possible outcomes, odds are that there will be 5 of one kind of outcome and 6 of another kind of outcome.

In this case, you are given 5 to 6 odds, which means that out of 11 possible outcomes you will win a bet 5 times, and lose it 6.

In fraction, it will look like this:


(11)/(11)\text{ \lparen these are all the possible outcomes, which equals 1\rparen = }(5)/(11)(the\text{ outcomes in which you win, which equals .4545, so 45.45\%\rparen + }(6)/(11)\text{ \lparen the outcomes in which you lose, which equals 0.5454, so 54.54\% \rparen}

Because of that, the probability of winning the bet is 45.45%, and in a fraction, it is 5/11, which means you will win in 5 out of 11 scenarios.

User Dory
by
8.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories