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

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

An unbaised die is thrown twice. Let the event A be "odd number on the first throw" and B be the event odd number on the second throw. Check the independence of the events A and B

An unbiased die is thrown twice. Let the event A be 'odd number on the first throw' and B the event 'odd number on the second throw'. Check the independence of the events A and B.

There are three events A, B and C of which one and only one can happen. If the odds are 7 to 4 against A and 5 to 3 against B, then odds against C is

The following are the probability of an event A. Find odd man out

The following are the probability of an event A. Find odd man out

xa n dy are the sides of two squares such that y=x-x^2 . Find the rate of the change of the area of the second square with respect to the first square.