List of top Questions asked in AP EAMCET- 2024

A bag contains 4 red and 5 black balls. Another bag contains 3 red and 6 black balls. If one ball is drawn from the first bag and two balls from the second bag at random, the probability that out of the three, two are black and one is red, is:

If 12 dice are thrown at a time, then the probability that a multiple of 3 does not appear on any die is:

In a class consisting of 40 boys and 30 girls, 30% of the boys and 40% of the girls are good at Mathematics. If a student selected at random from that class is found to be a girl, then the probability that she is not good at Mathematics is:

A and B throw a pair of dice alternately and they note the sum of the numbers appearing on the dice. A wins if he throws 6 before B throws 7, and B wins if he throws 7 before A throws 6. If A begins, the probability of his winning is:

If 5 letters are to be placed in 5-addressed envelopes, then the probability that at least one letter is placed in the wrongly addressed envelope is:

If each of the coefficients $ a, b, c $ in the equation $ ax^2 + bx + c = 0 $ is determined by throwing a die, then the probability that the equation will have equal roots, is:

A manufacturing company noticed that 1% of its products are defective. If a dealer orders 300 items from this company, then the probability that the number of defective items is at most one is:

A box contains 20 percent defective bulbs. Five bulbs are randomly chosen. Find the probability that exactly 3 are defective.

A random variable $ X $ follows a Poisson distribution with mean 5. Find the probability that $ X3 $.

If 7 different balls are distributed among 4 different boxes, then the probability that the first box contains 3 balls is:

The probability that a person goes to college by car,$\frac{1}{5}$ bus,$\frac{2}{5}$ or train $\frac{3}{5}$ is given. If he reaches college on time, find the probability he traveled by car.

Two persons A and B throw three unbiased dice one after the other. If A gets the sum 13, then the probability that B gets a higher sum is:

Let $E_1$ and $E_2$ be two independent events of a random experiment such that
$P(E_1) = \frac{1}{2}, \quad P(E_1 \cup E_2) = \frac{2}{3}$.
Then match the items of List-I with the items of List-II:

The correct match is:

There are 2 bags each containing 3 white and 5 black balls and 4 bags each containing 6 white and 4 black balls. If a ball drawn randomly from a bag is found to be black, then the probability that this ball is from the first set of bags is:

8 teachers and 4 students are sitting around a circular table at random. The probability that no two students sit together is:

If two cards are drawn randomly from a pack of 52 playing cards, then the mean of the probability distribution of number of kings is:

It is given that in a random experiment, events A and B are such that $ P(A) = \frac{1}{4} ,P(A|B) = \frac{1}{2} $ and $ P(B|A) = \frac{2}{3} $. Then $ P(B) $ is:

The probability that A speaks truth is 75\% and the probability that B speaks truth is 80\%. The probability that they contradict each other when asked to speak on a fact is:

When two dice are thrown, the probability of getting the sum of the values on them as 10 or 11 is:

Two persons A and B throw a pair of dice alternately until one of them gets the sum of the numbers appeared on the dice as 4 and the person who gets this result first is declared as the winner. If A starts the game, then the probability that B wins the game is:

If a number is drawn at random from the set $ \{1, 3, 5, 7, \dots, 59\} $, then the probability that it lies in the interval in which the function $ f(x) = x^3 - 16x^2 + 20x - 5 $ is strictly decreasing is:

A student writes an exam with 8 true/false questions. He passes if he answers at least 6 correctly. Find the probability that he fails.

In a consignment of 15 articles, it is found that 3 are defective. If a sample of 5 articles is chosen at random from it, then the probability of having 2 defective articles is:

P, Q, and R try to hit the same target one after another. Their probabilities of hitting are $ \frac{2}{3}, \frac{3}{5}, \frac{5}{7} $ respectively. Find the probability that the target is hit by P or Q but not by R.

The area (in square units) of the triangle formed by the lines 6x² + 13xy + 6y² = 0 and x + 2y + 3 = 0 is: