Probability questions
692 published questions with worked solutions.
- In a study about a pandemic, data of 900 persons was collected. It was found that 190 persons had symptom of fever, 220 persons...
- Suppose that Box-I contains 8 red, 3 blue and 5 green balls, Box-II contains 24 red, 9 blue and 15 green balls, Box-III contains...
- Consider an experiment of tossing a coin repeatedly until the outcomes of two consecutive tosses are same. If the probability of...
- Let X be the set of all five digit numbers formed using 1,2,2,2,4,4,0. For example, 22240 is in X while 02244 and 44422 are not...
- A student appears for a quiz consisting of only true-false type questions and answers all the questions. The student knows the...
- A bag contains N balls out of which 3 balls are white, 6 balls are green, and the remaining balls are blue. Assume that the balls...
- Let X have a binomial distribution B(n, p) such that the sum and the product of the mean and variance of X are 24 and 128...
- Let S be the sample space of all five digit numbers. It p is the probability that a randomly selected number from S, is multiple...
- If a point A(x, y) lies in the region bounded by the y-axis, straight lines 2y + x = 6 and 5x − 6y = 30, then the probability...
- Five numbers, x_ 1 , x_ 2 , x_ 3 , x_ 4 , x_ 5 , are randomly selected from the numbers 1, 2, 3, _____, 18 and are arranged in...
- Let X be a random variable having binomial distribution B(7, p). If P(X = 3) = 5P(X = 4), then the sum of the mean and the...
- Let A and B be two events such that P(B∖A) = 2/5, P(A∖B) = 1/7 and P(A B) = 1/9. Consider (S1) P(A' B) = 5/6, (S2) P(A' B') =...
- The probability that a randomly chosen one-one function from the set a, b, c, d to the set 1, 2, 3, 4, 5 satisfies f(a) + 2f(b) −...
- The probability, that in a randomly selected 3-digit number at least two digits are odd, is
- Bag I contains 3 red, 4 black and 3 white balls and Bag II contains 2 red, 5 black and 2 white balls. One ball is transferred...
- The sum and product of the mean and variance of a binomial distribution are 82.5 and 1350 respectively. Then the number of trials...
- Let S = 1, 2, 3, …, 2022 . Then the probability, that a randomly chosen number n from the set S such that HCF(n, 2022) = 1, is :
- The probability that a randomly chosen 2 2 matrix with all the entries from the set of first 10 primes, is singular, is equal to :
- If A and B are two events such that P(A)=0 5, P(B)=0 6 and P(A B)=0 4, then what is P( A B ) equal to?
- A problem is given to three students A, B and C whose probabilities of solving the problem are 1 2 , 3 4 and 1 4 respectively....
Other chapters
Alcohols, Phenols and EthersAldehydes, Ketones and Carboxylic AcidsAlternating CurrentAminesAnatomy of Flowering PlantsAncient Indian HistoryAnimal KingdomApplication of DerivativesArea Under CurveAromatic Compounds and Aryl HalidesAtomsBasic Mathematics and LogarithmBinomial TheoremBiodiversity and ConservationBiological ClassificationBiomoleculesBiotechnology and Its ApplicationsBiotechnology: Principles and ProcessesBody Fluids and CirculationBreathing and Exchange of GasesCell Cycle and Cell DivisionCell: The Unit of LifeChemical Bonding and Molecular StructureChemical Coordination and Integration