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

User Kaki Master Of Time
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1 Answer

26 votes
26 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 RHaguiuda
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