Probability Tes...

If $$P(A\cap B)=7/10$$ and $$P(B)=17/20$$, where $$P$$ stands for probability then $$P(A|B)$$ is equal tp

A box contains $$6$$ red marbles numbers from $$1$$ through $$6$$ and $$4$$ white marbles $$12$$ through $$15$$. Find the probability that a marble drawn 'at random' is white and odd numbered

Let $$A$$ and $$B$$ be two events with $$P(A^{C}) = 0.3, P(B) = 0.4$$ and $$P(A\cap B^{C}) = 0.5$$. Then, $$P(B|A\cup B^{C})$$ is equal to

If $$E_1$$ denotes the events of coming sum $$6$$ in throwing two dice and $$E_2$$ be the event of coming $$2$$ in any one of the two, then $$P\left (\dfrac {E_2}{E_1}\right)$$ is  

The adjoining figure is a map of part of a city: the small rectangles are blocks and the spaces in between streets. Each morning a student walks from intersection A to intersection B, always walking along streets shown, always going east or south. For variety, at each intersection where he has a choice, he choose with probability 1/2 (independent of all other choices) whether to go east or south. Find the probability that, on any given morning, he walks through intersection C. 

The  following is probabilty distribution of r.v X.

The variable which takes some specific values is called

The probability distribution of random variable X: number of heads , when a fair coin is tossed twice is given by 

To define probability disribution function we assign to each variable  

There are two coins, one unbiased with probability $$\dfrac{1}{2}$$ of getting heads and the other one is biased with probability $$\dfrac{3}{4}$$ of getting heads. A coin is selected at random and tossed. It shows heads up. Then the probability that the unbiasedcoin was selected is