Though the words "probability" and "odds" are both ratios representing the likelihood of an event, they are not synonyms. They have different mathematical definitions.
Probability is the ratio of favorable outcomes to *total* outcomes.
Odds in favor is the ratio of favorable outcomes to *unfavorable* outcomes.
A probability of 1/4 means 1 favorable outcome out of 4 *total* outcomes.
That means you have 1 favorable outcome and 3 *unfavorable* outcomes.
Thus the odds in favor (ratio of favorable to unfavorable) is 1:3.
Odds of 1:3 in favor
P.S. If they had asked for "odds against" that would be the ratio of unfavorable outcomes (3) to favorable outcomes (1) --> 3:1 against.
P (event occuring) = 1/4
P (event not occuring) = 3/4
1:4 - 1 = 1:3
p = 1/4
q = 1-p = 3/4
odds for = p : q = 1/4 : 3/4 = 1:3
1 out of 4
Probability is the number of positive outcomes over all outcomes.
Odds are the number of positive outcomes over the negative outcomes.
So if the probability is 1/4, then there is 1 positive outcome and 3 negative outcomes.
So the odds are:
1 in 4? 25%? Idk im 13