Probability Tes...

If $$P(A\cup B)=P(A\cap B)$$ then the relation between $$P(A)$$ and $$P(B)$$ is..........

$$A$$ and $$B$$ are two independent events. The probability that $$A$$ and $$B$$ occur is $$\displaystyle\frac{1}{6}$$ and the probability that at least one of them occurs is $$\displaystyle\frac{2}{3}$$. The probability of the occurrence of $$A = ....$$ if $$P(A) = 2P(B)$$

The probability that at least one of the events $$A$$ and $$B$$ occur is $$0.6$$. If $$A$$ and $$B$$ occurs simultaneously with probability $$0.2$$, then $$P\left( \overline { A }  \right) +P\left( \overline { B }  \right) $$ is

For the three events $$A, B \& C,$$ probability of exactly one of the events $$ A$$ or $$B$$ occurs = probability of exactly one of the events $$C$$ or $$A$$ occurs $$= p$$ $$\&$$ $$P$$ (all the three events occur simultaneously) $$= p$$$$^2$$, where 

A and B are two independent events such that $$P(A'\cap B')=\dfrac{1}{6}$$ and $$P(A')=\dfrac{5}{24}$$. Then P(B) is equal to 

The probability that at least one of the events $$A$$ and $$B$$ occurs is $$\displaystyle \frac {3}{5}$$. If $$A$$ and $$B$$ occur simultaneously with probability $$\displaystyle \frac {1}{5}$$ then $$\displaystyle P(A') + P(B')$$ is

Probability is $$0.45$$ that a dealer will sell at least $$20$$ television sets during a day, and the probability is $$0.74$$ that he will sell less that $$24$$ televisions. The probability that he will sell $$20,21,22$$ or $$23$$ televisions during the day, is

A man alternatively tosses a coin and throws a die. The probability of getting a head on the coin before he gets 4 on the die is

A, B, C take one shot each at a target. Their probabilities of hitting the target are respectively 0.4, 0.5 and 0.8. The probability that at least two of them hit the target, is

If $$E$$ and $$F$$ are events with $$P(E)\le P(F)$$ and $$P(E\cap F)>0$$, then