MCA Entrance Previous Year Question Bank

If $A$ and $B$ are arbitrary events, then:

A jar contains 24 marbles, some are green and others are blue. If a marble is drawn at random from the jar, the probability that it is green is 2/3. Find the number of blue balls in the jar.

A game consists of tossing a one-rupee coin 3 times and noting its outcome each time. Tanmay wins if all the tosses give the same result, i.e. three heads or three tails, and loses otherwise. Calculate the probability that Tanmay will lose the game.

If the probability distribution function of a random variable X is given by $f(x)=\{\begin{array}{llcc}\frac{1}{7},& \forall 1& lt;x& lt;8\\ 0,& \text{otherwise}& & \end{array}$ Then the value of P(3 < X < 10) is

f (x) is called p.d.f of the continuous random variable, if