Probability Tes...

A bag contains $$3$$ R & $$3$$ G balls and a person draws out $$3$$ at random. He then drops $$3$$ blue balls into the bag & again draws out $$3$$ at random. The change that the $$3$$ later balls being all of different colours is?

A bag contains $$5$$ balls, three red and two white. Balls are randomly removed one at a time without replacement until all the red balls are drawn or all the white balls are drawn. The probability that the least ball drawn is white, is

Suppose $$X$$ follows binomial distribution with parameters $$n=100$$ and $$p=\frac{1}{3}$$ then $$P(x=r)$$ is maximum when $$r=$$  

One ticket is selected at random from $$50$$ tickets numbered $$00,01,02,....,49$$. Then the probability that the sum of the digits on the selected ticket is $$8$$ ,given that the product of these digits is zero, equals

In a certain town, $$40$$% of the people have brown hair, $$25$$% have brown eyes and $$15$$% have both brown hair and brown eyes. If a person selected at random from the town has brown hair, the probability that he also has brown eyes is

Three numbers are chosen at random without replacement from $$\left\{ 1,2,...,8. \right\} $$. The probability that their minimum is $$3$$, given that their maximum is $$6$$ is

Two bags contains respectively 3 white and 2 red balls and 2 white and 4 red balls. One ball is drawn at random from the first bag and put it into the second; then a ball is drawn from the second is white is 

A five digit number (having all different digits) is formed using the digits 1 , 2, 3, 4, 5, 6, 7, 8 and 9. The probability that the formed number either begins or ends with an odd digit is equal to 

P(x) is a polynomial satisfying P(x+3/2)=p(x) for all real values of x. If P(5)=2010, what is the value of P(8)

A bag contains a white and black balls. Two players $$A$$ and $$B$$ alternately draw a ball from the bag.replacing the ball each form after the draw. The person who first draw a white ball will wins the bag.game. If $$A$$ 'begins the game and $$\frac { P ( B ) } { P ( A ) } = \frac { 1 } { 2 }$$ then $$a : b$$