Probability Tes...

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

Probability of an event $$E\, +$$ Probability of the event 'not $$E$$'$$=$$_____

The probability of an event that cannot happen is ____?

If S is a sample space $$P\left ( A \right )= \dfrac{1}{3} P\left ( B \right )$$ and $$S= A\cup B$$ where A and B are two mutually exclusive events, then $$P\left ( A \right )= $$

A student appears for tests, I, II and III. The student is successful if he passes in tests I, II or I, III. The probabilities of the student passing in tests I, II and III are respectively p, q and $$\dfrac{1}{2}$$. If the probability of the student to be successful is $$\dfrac{1}{2}$$ then

The probability of an event that is certain to happen is ____?

In a sample study of $$642$$ people, it was found that $$514$$ people have a high school certificate. If a person is selected at random, the probability that the person has a high school certificate is :

If A and B are two mutually exclusive events then $$P\left ( A\cap B \right )= $$

If A and B are two Mutually Exclusive events in a sample space S such that $$P\left ( B \right )= 2P\left ( A \right )$$ and $$A\cup B=S$$ then $$P\left ( A \right )=$$

If A and B are two mutually exclusive events then $$P\left ( A\cup B \right )= $$