Probability Tes...

A box contains 3 white and 2 black balls. Two balls are drawn at random one after the other. If the balls are not replaced. what is the probability that both the balls are black ?

Two events A and B will be independent if

The probability distribution of a discrete random variable $$X$$ is:

An urn contains $$5$$ red and $$2$$ black balls. Two balls are randomly drawn. Let $$X$$ represent the number of black balls. What are the possible values of $$X$$ ? Is $$X$$ a random variable ?

If $$P(A/ B) = P(A)$$, then

The probability that a leap year will have $$53$$ sundays is 

The probability of A's a Tenis game against $$B$$ is $$\dfrac{1}{3}$$. Find the probability that A wins at least $$1$$ of the total $$3$$ set of games. 

One percent of the population suffers from a certain disease. There is blood test for this disease, and it is $$99\%$$ accurate, in other words, the probability that is gives the correct answer is $$0.99$$, regardless of whether the person is sick or healthy. A person takes the blood test, and the result says that he has the disease. The probability that he actually has the disease, is?

Box I contains $$2$$ white and $$3$$ red balls and box II contains $$4$$ white and $$5$$ red balls. One ball is drawn at random from one of the boxes and is found to be red. Then, the probability that it was from box II, is?

In a simultaneous throw of a pair of dice, find the probability of getting:
A doublet odd numbers