Probability questions
692 published questions with worked solutions.
- A pair of fair dice is rolled. What is the probability that the second dice lands on a higher value than does the first?
- A fair coin is tossed and an unbiased dice is rolled together. What is the probability of getting a 2 or 4 or 6 along with head?
- If A, B, C are three events, then what is the probability that at least two of these events occur together?
- Two independent events A and B are such that P(A B)= 2 3 and P(A B)= 1 6 . If P(B)<P(A), then what is P(B) equal to?
- If two fair dice are rolled then what is the conditional probability that the first dice lands on 6 given that the sum of numbers...
- There are n socks in a drawer, of which 3 socks are red. If 2 of the socks are chosen randomly and the probability that both...
- In eight throws of a die, 5 or 6 is considered a success. The mean and standard deviation of total number of successes is...
- A and B are two events such that A and B are mutually exclusive. If P(A)=0 5 and P(B)=0 6, then what is the value of P(A B)?
- What is the probability that an interior point in a circle is closer to the centre than to the circumference?
- A factory has a total of three manufacturing units, M_1, M_2, and M_3, which produce bulbs independent of each other. The units...
- A pair of dice is thrown 5 times. For each throw, a total of 5 is considered a success. If the probability of at least 4...
- If the probability that the random variable X takes values x is given by P(X = x) = k(x+1)3^ -x , x = 0, 1, 2, 3, ........, where...
- In a bolt factory, machines A, B and C manufacture respectively 20%, 30% and 50% of the total bolts. Of their output 3, 4 and 2...
- Let a die be rolled n times. Let the probability of getting odd numbers seven times be equal to the probability of getting odd...
- Let S = M = [a_ ij ], a_ ij 0,1,2 , 1 i,j 2 be a sample space and A = M : M is invertible be an even. Then P(A) is equal to
- The random variable X follows binomial distribution B (n, p), for which the difference of the mean and the variance is 1. If 2P...
- A bag contains 6 white and 4 black balls. A die is rolled once and the number of balls equal to the number obtained on the die...
- Let be the sample space and A be an event. Given below are two statements: (S1) : If P(A) = 0, then A = (S2) : If P(A) = 1, then...
- 25% of the population are smokers. A smoker has 27 times more chances to develop lung cancer than a non-smoker. A person is...
- Let M be the maximum value of the product of two positive integers when their sum is 66. Let the sample space S = x Z:x(66-x) 5 9...
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