Probability Tes...

If $$P(A\cup B)=\dfrac {2}{3}, P(A\cap B)=\dfrac {1}{6}$$ and $$P(A)=\dfrac {1}{3}$$, then 

A bag contains $$2$$ red, $$3$$ green and $$2$$ blue balls. $$1$$ ball is to be drawn randomly. What is the probability that the ball drawn is not blue?

A bag contains $$5$$ red balls and $$8 $$ blue balls. It also contains $$4$$ green and $$7$$ black balls. If a ball is drawn at random, then find the probability that it is not green.

The probability that a card drawn from  a pack of $$52$$ cards will be a diamond or a king is -

If A and B are two events such that $$P(A\cup B)=P(A\cap B)$$, then the incorrect statement amongst the following statements is :

If events $$A$$ and $$B$$ are independent and $$P(A)=0.15, P(A\cup B)=0.45,$$ then $$P(B)$$ is:

A set $$A$$ is containing $$n$$ elements. A subset $$P$$ of $$A$$ is chosen at random. The set is reconstructed by replacing the elements of $$P$$. A subset $$Q$$ of $$A$$ is again chosen at random. The probability that $$P$$ and $$Q$$ have no common elements is:

If events $$A$$ and $$B$$ are independent and $$P(A)=0.4, P(A\cup B)=0.6$$, then $$P(B)=$$

An unbiased normal coin is tossed n times. Let $$E_1$$: event that both heads and tails are present in n tosses. $$E_2$$:event that the coin shows up heads at most once. The value of n for which $$E_1$$ and $$E_2$$ are independent is

Events A and C are independent. If the probability relating A, B and C are $$P(A)=1/5, P(B)=1/6;$$ $$P (A \cap C) = 1/20. P(B \cup C)  = 3/8$$. Then