If odds against an events be 7: 9, find the probability of non-occurrence of this event.
given: odds against of event is 7:9
formula:
we have to find the probability of non-occurrence of this event
total possible outcomes are 7k+9k=16k
therefore n(S)= 16k
let E be the event that it occurs
n(E)=9k
probability of occurrence is
Therefore, the probability of non-occurrence of the event is