List of top Mathematics Questions on Probability asked in TS EAMCET

The range of a discrete random variable X is\( \{1, 2, 3\}\) and the probabilities of its elements are given by \(P(X=1) = 3k^3\), \(P(X=2) = 2k^2\) and \(P(X=3) = 7-19k\). Then \(P(X=3) = \)}

Let A and B be two events in a random experiment. If \( P(A \cap \overline{B}) = 0.1 \), \( P(\overline{A} \cap B) = 0.2 \) and \( P(B) = 0.5 \) then \( P(A \cap B) = \)
An urn contains 7 red, 5 white and 3 black balls. Three balls are drawn randomly one after the other without replacement. If it is known that first ball drawn is red and the second ball drawn is white, then the probability that the third ball drawn is not red is
Among every 8 units of a product, one is likely to be defective. If a consumer has ordered 5 units of that product, then the probability that atmost one unit is defective among them is \
The coefficient of variation for the following data is
If two smallest squares are chosen at random on a chess board then the probability of getting these squares such that they do not have a side in common is
If \( X \sim B(7, p) \) is a binomial variate and \( P(X=3) = P(X=5) \) then \( p = \)

The mean deviation from the median for the following data is

\( x_i \)298357
\( f_i \)531661
If three dice are thrown, then the mean of the sum of the numbers appearing on them is
Urn A contains 6 white and 2 black balls; urn B contains 5 white and 3 black balls and urn C contains 4 white and 4 black balls. If an urn is chosen at random and a ball is drawn at random from it, then the probability that the ball drawn is white is
If three cards are drawn randomly from a pack of 52 playing cards then the probability of getting exactly one spade card, exactly one king and exactly one card having a prime number is
If three smallest squares are chosen at random on a chess board then the probability of getting them in such a way that they are all together in a row or in a column is
Let \( P = \begin{bmatrix} 1 & 2 & 3 \\4 & 5 & 6 \\ 7 & 8 & 9 \end{bmatrix} \) be a matrix. Three elements of this matrix P are selected at random. A is the event of having the three elements whose sum is odd. B is the event of selecting the three elements which are in a row or column. Then \( P(A) + P(A|B) = \)
A, B are the events in a random experiment. If \( P(A)=\frac{1}{2}, P(B)=\frac{1}{3}, P(A \cap B)=\frac{1}{4} \), then \( P(A^c | B^c) + P(A | B) = \)
Two persons A and B play a game by throwing two dice. If the sum of the numbers appeared on the two dice is even, A will get \( \frac{1}{2} \) point and B will get \( \frac{1}{2} \) point. If the sum is odd, A will get one point and B will get no point. The arithmetic mean of the random variable of the number of points of A is
A typist claims that he prepares a typed page with typo errors of 1 per 10 pages. In a typing assignment of 40 pages, if the probability that the typo errors are at most 2 is p, then \(e^2 p =\)
If the variance of the numbers \( 9, 15, 21, \dots, (6n+3) \) is P, then the variance of the first \( n \) even numbers is
A, B1, B2, B3 are the events in a random experiment. If \( P(B_1)=0.25, P(B_2)=0.30, P(B_3)=0.45 \), \( P(A|B_1)=0.05, P(A|B_2)=0.04, P(A|B_3)=0.03 \), then \( P(B_2|A) = \)