Three numbers are chosen at random without replacement from {1, 2, …8}. The probability that their minimum is 3, given... View Article
If X and Y are two events that P(X ∕ Y ) = 1/2, P(Y ∕ X) = 1/3 and... View Article
A box B1 contains 1 white ball, 3 red balls and 2 black balls. Another box B2 contains 2 white... View Article
A box B1 contains 1 white ball, 3 red balls and 2 black balls. Another box B2 contains 2 white... View Article
If four persons independently solve a certain problem correctly with probabilities 1/2, 3/4, 1/4 and 1/8. Then, the probability that... View Article
The probability of India winning a test match against South Africa is 1/2 assuming independence from match to match played.... View Article
A candidate takes three tests in succession and the probability of passing the first test is p. The probability of... View Article
If A , B and C are mutually exclusive and exhaustive events of a random experiment such that P(B) =... View Article
A student answers a multiple choice question with 5 alternatives, of which exactly one is correct. The probability that he... View Article
If events A, B are independent, P(A ‘) = 2/3 and P(B ‘) = 2/7 then P(A ∩ B) is... View Article
Consider the set of eight vectors V = [ai+bj+ck: a,b,c ∈ {-1,1}]. Three non-coplanar vectors can be chosen from v... View Article
1) n+m+1Cn+1 2) n+m+2Cn 3) n+m+3Cn-1 4) None of these Answer: (1) n+m+1Cn+1 Solution:
1) 3990 2) 1540 3) 1995 4) 1405 Answer: (2) 1540 Solution: As per the given condition, total number of... View Article
1) 64 2) 72 3) 81 4) 900 Answer: (3) 81 Solution: The hundreds place of three digit numbers can... View Article
1) 4 2) 5 3) 6 4) 7 Answer:(4) 7 As per the given question, voter has to vote for... View Article
If P(n ,r)=1680 and C(n , r) = 70 , then 69n + r! is equal to 1) 128 2)... View Article
1) 455 2) 1575 3) 1120 4) 2030 5) 1930 Answer: (4) 2030 Solution: Number of integers = 1 to... View Article
1) 20 2) 25 3) 5 4) 10 Answer: (2) 25 Solution: There are total 5 ways from village to... View Article
At an election, a voter may vote for any number of candidates not greater than the number to be elected.... View Article
Number of divisors of the form (4n + 2), n ≥ 0 of the integer 240 is 1) 4 2)... View Article