Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Probability question

2021 · 25 Feb · Shift 2 · Q28
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Probability
  5. /2021 · 25 Feb · Shift 2 · Q28

Probability question

2021 · 25 Feb · Shift 2 · Q28

JEE MainMathematicsProbabilityMCQ+4 / −1
Let A be a set of all 4-digit natural numbers whose exactly one digit is 7. Then the probability that a randomly chosen element of A leaves remainder 2 when divided by 5 is :
  1. A
    29{2 \over 9}92​
  2. B
    15{1 \over 5}51​
  3. C
    122297{122 \over 297}297122​
  4. D
    97297{97 \over 297}29797​
PreviousNext

More from Probability

  • In a group of 400 people, 160 are smokers and non-vegetarian; 100 are smokers and vegetarian and the remaining 140 are non-smokers and vegetarian. Their chances of getting a particular chest disorder are 35%, 20% and 10% respectively. A…2021 · MCQ
  • Let 9 distinct balls be distributed among 4 boxes, B1, B2, B3 and B4. If the probability than B3 contains exactly 3 balls is k(43​)9 then k lies in the set :2021 · MCQ
  • Let X be a random variable such that the probability function of a distribution is given by P(X=0)=21​,P(X=j)=3j1​(j=1,2,3,...,∞). Then the mean of the distribution and P(X is positive and even)…2021 · MCQ
  • A fair coin is tossed n-times such that the probability of getting at least one head is at least 0.9. Then the minimum value of n is ​.2021 · Numerical
  • Let A and B be independent events such that P(A) = p, P(B) = 2p. The largest value of p, for which P (exactly one of A, B occurs) = 95​, is :2021 · MCQ
  • A fair die is tossed until six is obtained on it. Let x be the number of required tosses, then the conditional probability P(x ≥ 5 | x > 2) is :2021 · MCQ
  • Two fair dice are thrown. The numbers on them are taken as λ and μ, and a system of linear equations x + y + z = 5 x + 2y + 3z = μ x + 3y +λ z = 1 is constructed. If p is the probability that the system has a unique…2021 · MCQ
  • A seven digit number is formed using digits 3, 3, 4, 4, 4, 5, 5. The probability, that number so formed is divisible by 2, is :2021 · MCQ