List of top Mathematics Questions on Probability asked in SRMJEEE

A box contains 5 red balls and 7 blue balls. Two balls are drawn at random without replacement. What is the probability that both balls are red?

y x is normal variate such that mx(t)=e3+8+2,then the varience is 

If a and b are independent events and P(A)=P(B),P(A∩B)= ∝ then p(B)=_____

A box contains 5 red and 4 white balls. Two balls are drawn successively from the box without replacement and it is noted that the second one is white. Then the probability that the first one is white is
If A, B are two mutually exclusive events, then
If P(A) = 1/3, P(B) = 3/4 and P(A∪B)= 11/12, then P(A/B) is
How many different signals can be given by using any number of flags from six flags of different colors?
The diameter of an electric cable \(X\) is a continuous random variable with probability density function \[ f(x)=kx(1-x),\quad 0\leq x\leq 1. \] Find \[ P\left(X<\frac{1}{2}\ \middle|\ \frac{1}{3}<X<\frac{2}{3}\right) \]
A coin is biased so that a head is twice as likely to occur as a tail. If the coin is tossed \(3\) times, what is the probability of getting \(2\) tails and \(1\) head.