Probability Tes...

Two numbers are selected at random (without replacement) from the first six positive integers. Let X denote the larger of the two numbers obtained. Find E(X).

A bag contains $$5$$ red balls, $$3$$ black balls and $$4$$ white balls. Three balls are drawn at random. The probability that they are not of same colour is

Suppose four balls labelled $$1, 2, 3, 4$$ are randomly placed in boxes $$B_{1}, B_{2}, B_{3}, B_{4}$$. The probability that exactly one box is empty is

There are two bags, one of which contains $$3$$ black and $$4$$ white balls,$$II$$ bag contain $$4$$ black and $$3$$ white balls.A die is cast, if the number $$3$$ or less than $$3$$ turns up, a ball is drawn from $$1$$ bag and if the face greater than $$3$$ turns up, a ball is drawn from $$II$$ bag. It is found that ball drawn is black. Find the probability that it is from bag I.

A biased coin with probability P, (0 < p < 1 ) of heads is tossed until a head appear for the first time. If the probability that the number of tosses required is even is $$\frac{2}{5}$$ then P =  

$$X$$ has three children in his family. What is the probability that all the three children are boys?

A committee of three persons is to be randomly selected from a group of three men and two women and the chair person will be randomly selected from the committee.The probability that the committee will have exactly two women and one man, and that the chair person will be a women, is / are  

$$X$$ has three children in his family. Probability of atleast two girls in the family is.....

A box contains $$2$$ silver coins and 4 gold coins and the second box contains $$4$$ silver coins and $$3$$ gold coins. If a coin is selected from one of the box, what is the probability that it is a silver coin. 

$$X$$ has three children in his family. What is the probability of two or more boys in the family?