Probability Tes...

If A and B are two independent events such that $$P\left( A \right) = \dfrac{1}{2}$$ and $$P\left( B \right) = \dfrac{1}{5}$$, then 

If E & F are events with $$P(E) \leq P(F)$$ & $$P(E\cap F) > 0$$, then?

If A and B are two mutually exclusive events, then?

The number of ways in which $$6$$ men can be arranged in a row, so that three particular men are consecutive, is 

If $$\displaystyle \frac{1+3p}{3}, \frac{1-p}{4}$$ and $$\dfrac{1-2p}{2}$$ are the probabilities of the three mutually exclusive events, then $$p \in $$

If $$\frac { 1+4p }{ 4 } ,\frac { 1-p }{ 4 } ,\frac { 1-2p }{ 4 } $$ are probabilities of three mutually exclusive and exclusive and exhaustive events, then the possible value of p belong to the set

Four dice are rolled, then the probability that at least one digit on the dice must be repeated is

The probability of complementary event of a certain event is

Assume that the birth of a boy or girl to a couple to be equally likely ,mutually exclusive,independent of the other children in the family .for a couple having $$6$$ children ,the probability that their "three oldest are boys" is

If P(1)=0.4 , P(B)=0.6 and $$P(AB)=0.15$$, then the value of $$P(A|A'B')$$ is