Mathematics Tes...

One of the two events, A and B must occur. If P (A) = (2/3) P (B), the odds in favour of B are

A fair coin is tossed N times. The probability that head does not turn up in any of the tosses is

A random variable X has the density function \(f\left( x \right) = K\frac{1}{{1 + {x^2}}}\), where -∞ < x < ∞. Then the value of K is

A fair coin is tossed \(n\) times. The probability that the difference between the number of heads  and tails is \(\left( {n - 3} \right)\) is

An experiment yield three mutually exclusive evens A, B, C such that P(A) = 2P(B) = 3P(C). Then P(\({\rm{\bar A}}\)) =

If P(X) = 1/4, P(Y) = 1/3, and P(X ∩ Y) = 1/12, the value of P(Y/X) is

The random variable X has probability density function as given by

\(f\left( x \right) = \left\{ {\begin{array}{*{20}{c}} {3{x^2},\;\;0 \le x \le 1}\\ {0,\;\;otherwise} \end{array}} \right.\)

A box contains 25 parts of which 10 are defective. Two parts are being drawn simultaneously in a random manner from the box. The probability of both the parts being good is

There are 14 people in a picnic. 3 people are wearing pink t-shirt, 7 of them wearing blue t-shirt and 4 of them wearing yellow t-shirt. 2 people are chosen at random. The probability that they are of the same colour is:

If 2 cards are drawn from a well shuffled pack of 52 cards, the probability that they are of the same colour is: