List of top Mathematics Questions asked in AP EAPCET

A, B, C are three horses participating in a race. The probability of horse A to win is twice that of B, and the probability of B to win is twice that of C. Then the probabilities of A, B, and C winning the race are respectively:
If eight coins are tossed simultaneously, then the probability of getting at least six heads is:
The probability that a person chosen at random is left handed is 0.1. Then the probability that in a group of 10 people there is exactly one left-handed person is
In a game, a pair of dice is rolled 24 times. If a person wins the game by not getting 6 on both the dice in any one of the 24 rolls, then the probability that a person wins the game is:
Bag \( B_1 \) contains 4 white and 2 black balls. Bag \( B_2 \) contains 3 white and 4 black balls. A bag is chosen at random and a ball is drawn from it at random, then the probability that the ball drawn is white, is:
A pair of dice is thrown. Then the probability that either of the dice shows 2 when their sum is 6 is:
A coin is tossed three times. Let A be the event of "getting three heads" and B be the event of "getting a head on the first toss". Then A and B are:
The minimum number of times a fair coin needs to be tossed, so that the probability of getting at least two heads is at least 0.96 is:
If \( P(X = x) = k \left( \frac{3}{8} \right)^x \), where \( x = 1, 2, 3, \dots \) is the probability distribution function of a discrete random variable X, then \( k = \)
If $ A $ and $ B $ are two events of a random experiment such that $ P(A \cup B) = 0.65 $ and $ P(A \cap B) = 0.15 $, then $ P(A) + P(B) = ?$
A and B are independent events of a random experiment if and only if
If four dice are thrown simultaneously, then the probability that none of the dice shows the number 1 on its face, is:
The range of a random variable \( X \) is \( \{0, 1, 2\} \). If \( P(X=0) = 3C^3 \), \( P(X=1) = 4C-10C^2 \), and \( P(X=2) = 5C-1 \), then the value of \( C \) is:
If A and B simultaneously toss one coin each every time, each 50 times, then the probability of not getting a tail on both the coins is:
One out of 9 ships is likely to sink when they are set on sail. When 6 ships are set on sail, the probability that exactly 3 of them will not arrive safely is:
A bag contains 12 two rupee coins, 7 one rupee coins and 4 fifty paise coins. If three coins are selected at random, then the probability that the sum of the values of the three coins is not an integral multiple of a rupee is
A bag contains 10 similar balls, of which 4 are blue and 6 are red. Three balls are taken at random from the bag one after the other without replacement. The probability that all the three balls drawn are red is:
From a collection of eight cards numbered 1 to 8, if two cards are drawn at random, one after the other with replacement, then the probability that the product of numbers that appear on the cards is a perfect square is:
Probability that missing card is not a spade, given two drawn cards are spades?
If $X_1, X_2, ..., X_n$ are $n$ independent events such that $P(X_r) = \frac{1}{r+1}$, for $r=1, 2, ..., n$, then the probability that none of the $n$ events occur is
If $ X $ is a random variable with the probability distribution \[ P(X = k) = \frac{(k+1)c}{2^k}, \quad k = 0, 1, 2, ..., \] then $ P(X \geq 3) $ is:
Let \(A\) and \(B\) be two independent events of a random experiment. If the probability that both \(A\) and \(B\) occur is \(\frac{1}{6}\) and the probability that neither of them occurs is \(\frac{1}{3}\), then the probability of occurrence of \(A\) is:
If the mean and varian of a binomial variable $X$ are 2 and 1 respectively, then $P(X>1) = $
The probability that a non-leap year contains 53 Sundays is
In a committee of 25 members, each member is proficient either in Mathematics or in Statistics or in both. If 19 of them are proficient in Mathematics and 16 of them are proficient in Statistics, then the probability that a person selected at random from the committee is proficient in both is