Probability questions
692 published questions with worked solutions.
- Three dice are thrown. The probability of getting a sum which is a perfect square is
- Three different numbers are selected at random from the set A = 1, 2, 3, , 10 . The probability that the product of two of the...
- There are 7 seats in a row. Three persons take seats at random. The probability that the middle seat is always occupied and no...
- x_1, x_2, x_3, , x_ 50 are fifty real numbers such that x_r < x_ r+1 for r = 1, 2, 3, , 49. Five numbers out of these are picked...
- Three numbers are chosen at random without replacement from the set A = x 1 x 10, x N . The probability that the minimum of the...
- From a group of 10 persons consisting of 5 lawyers, 3 doctors and 2 engineers, four persons are selected at random. The...
- Two distinct numbers are selected at random from the first twelve natural numbers. The probability that the sum will be divisible...
- The probability of a number n showing in a throw of a dice marked 1 to 6 is proportional to n. Then the probability of the number...
- If one ball is drawn at random from each of the three boxes containing 3 white and 1 black, 2 white and 2 black, 1 white and 3...
- A draws two cards at random from a pack of 52 cards. After returning them to the pack and shuffling it, B draws two cards at...
- A and B draw two cards each, one after another, from a pack of well-shuffled pack of 52 cards. The probability that all the four...
- Three numbers are chosen at random without replacement from 1, 2, 3, , 10. The probability that the minimum of the chosen numbers...
- A man draws a card from a pack of 52 cards and then replaces it. After shuffling the pack, he again draws a card. This he repeats...
- A fair coin is tossed repeatedly. The probability of getting a result in the fifth toss different from those obtained in the...
- If the integers m and n are chosen at random between 1 and 100 then the probability that a number of the form 7^ m + 7^ n is...
- It has been found that if A and B play a game 12 times, A wins 6 times, B wins 4 times and they draw twice. A and B take part in...
- If the probability of A to fail in an examination is 1 5 and that of B is 3 10 then the probability that either A or B fails is
- A and B are two events where P(A)=0.25 and P(B)=0.5. The probability of both happening together is 0.14. The probability of both...
- Three faces of an ordinary dice are yellow, two faces are red and one face is blue. The dice is tossed 3 times. The probability...
- India play two matches each with West Indies and Australia. In any match the probabilities of India getting 0, 1 and 2 points are...
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