A student wants to know why if the odds in favor of an event are 3:4, the probability of the event occurring is not 3/4 How do you respond?

Answer 1

odds in favour of some event
= probability of that event happening : probability of the event NOT happening

so if the odds of something happening is 3: 4
then the probability of the event happening is 3/7

in general if the odds of something is a : b
then prob of that something = a/(a+b)