SOLUTION: What is your probability of​ winning? The probability of winning is StartFraction 13 Over 28 EndFraction . What are the actual odds against​ winning? The actual odds agai

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Question 1154194: What is your probability of​ winning?
The probability of winning is
StartFraction 13 Over 28 EndFraction
.
What are the actual odds against​ winning?
The actual odds against winning are
Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!

If odds are stated as an A to B chance of winning then the probability of winning is given as PW+=+A+%2F+%28A+%2B+B%29 while the probability of losing is given as PL+=+B+%2F+%28A+%2B+B%29
you are given A=13 and B=28
the probability of winning is
PW+=+13+%2F+%2813%2B+28%29
PW+=+13+%2F+41
PW+=+0.3171 or 31.71%

the probability of losing is
PL+=+B+%2F+%28A+%2B+B%29
PL+=+28+%2F+%2813+%2B+28%29
PL+=+28+%2F+41
PL+=+0.6829 or 68.29%


Answer by greenestamps(13367) About Me  (Show Source):
You can put this solution on YOUR website!


The given information is that
P(winning) = 13/28

That means
P(not winning) = 1-13/28 = 15/28

Odds IN FAVOR OF compares good outcomes to bad outcomes:
Odds in favor of winning = (13/28):(15/28) = 13:15

Odds AGAINST compares bad outcomes to good outcomes:
Odds against winning = 15:13