Probability Tes...

If A and B are two mutually exclusive and exhaustive events with $$P(B)=3P(A),$$ then what is the value of $$P(\overline{B})$$?

Choose the correct alternative for each of the following. If $$ \displaystyle P\left ( E_{1} \right )=\frac{1}{6} $$, $$ \displaystyle  P\left ( E_{2} \right )=\frac{1}{3} $$, $$ \displaystyle  P\left ( E_{3} \right )=\frac{1}{6} $$, where $$ E_{1} $$, $$ E_{2} $$, $$ E_{3} $$, $$ E_{4} $$ are elementary events of a random experiment, then P($$ E_{4} $$) is equal to

If $$P(A) = P(B)$$, then the two events $$A$$ and $$B$$ are -

If an unbiased coin is tossed once, then the two events of getting a Head and a Tail are -

Write the sample space when a coin is tossed.

A pack of playing cards was found to contain only $$51$$ cards. If the first $$13$$ cards which are examined are all red, then the probability thatthe missing card is black, is

The probability of a certain event is 

There are 50 marbles of 3 colors: blue yellow and black The probability of picking up a blue marble is 3/10 and that of picking up a yellow marble is 1/2 The probability of picking up a black ball is 

The probability of an impossible event is 

Probability that $$A$$ speaks truth is $$\displaystyle\frac { 4 }{ 5 } $$. A coin is tossed. A reports that a head appears. The probability that actually there was head is