Probability questions
692 published questions with worked solutions.
- Three critics review a book. For the three critics, the odds in favour of the book are (5 : 2), (4 : 3) and (3 : 4) respectively....
- The probability of success for the Binomial distribution satisfying the relation, 4 ,P(X = 4) = P(X = 2) and having the parameter...
- If events A and B are such that P(A)= 1 4 , P(A B)= 1 10 and P(A/B)=2P(B/A) then P(B)= ..........
- The probability mass function of a random variable X is given by P(X=x)= ^5C_x 2^5 , for x = 0, 1, 2, 3, 4, 5 and = 0, otherwise....
- If X B(n,p), then the value of P(X=k) P(X=k-1) is
- Two cards are drawn at random from a standard pack of 52 cards. Then the probability that the draw consists of exactly one face...
- If the following function is probability density function of r.v. X f(x) = k x^2(1-x), for 0 < x < 1 = 0 otherwise, then the...
- Let X B(n,p). If E(X) = 2 and Var(X) = 1, then the probability of getting at most one success is ....
- If A and B are two events such that P(A)= 1 3 , P(B)= 1 5 , P(A B)= 1 3 , then the value of P(A'/B')+P(B'/A') is
- A fair die is tossed twice in succession. If X denotes the number of four in two tosses, then the probability distribution of X...
- Two cards are drawn successively with replacement from a well-shuffled pack of 52 card. Then mean of number of tens is
- A random variable X has the following probability distribution X=x : 1, 2, 3, 4, 5, 6, 7, 8 P(X=x): 0.15, 0.23, 0.10, 0.12, 0.20,...
- Let A, B and C be three events, which are pairwise independent and denote the complement of an event E. If P(A B C)=0 and P(C)>...
- One hundred identical coins, each with probability p, of showing up heads are tossed once. If 0 < p < 1 and the probability of...
- The p.m.f of random variable X is given by P[X=x]= cases 5 x 2^ 5 , & if x=0,1,2,3,4,5 0, & otherwise, cases then which of the...
- If A and B are two independent events such that P(A') = 0·75, P (A U B) = 0·65 and P (B) = p, then value of p is
- The probability that a person who undergoes a bypass surgery will recover is 0·6. The probability that of the six patients who...
- If P(A B)=0.7, P(A B)=0.2, then P(A')+P(B') is
- The incidence of occupational disease in an industry is such that the workmen have a 10% chance of suffering from it. The...
- The probability that at least one of the events A and B occurs is 0.6. If A and B occur simultaneously with probability 0.2, then...
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