The chance of an event happening is the square of the chance of a second event but the odds against the first are the cube of the odds against the second. The chances of the events are

The probability of an event is (3)/(7) then odd against the events is

Of three independent events, the chance that only the first occurs is a , the chance that only the second occurs is b , and the chance of only the third is c . Show that the chances of three events are respectively, a/(a+x),b/(b+x),c/(c+x) where x is a root of the equation (a+x)(b+x)(c+x)=x^2

Of three independent events, the chance that only the first occurs, is a , the chance that only the second occurs if b , and the chance of only the third is cdot Show that the chances of three events are, respectively, a//(a+x),b//(b+x),c//(c+x)=x^2

If the probability of non-occurrence of an event is (4)/(7) then the odds against the event are -

The odds against of an event are 3:4 . Find the probability of the occurrence of the event.

If the odds against the occurrence of an event be 4 : 7 , find the probability of the occurrence of the event.

The odds against of an event are 3:4 . Find the probability of the occurrence of the event.

Of three independent events, the chance that only the first occurs is a , the chance that only the second occurs if b , and the chance of only the third is c . Show that the chances of three events are respectively, a/(a+x),b/(b+x),c/(c+x) where x is a root of the equation (a+x)(b+x)(c+x)=x^2