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

Probability question

2025 · 22 Jan · Shift 2 · Q33
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Probability
  5. /2025 · 22 Jan · Shift 2 · Q33

Probability question

2025 · 22 Jan · Shift 2 · Q33

JEE MainMathematicsProbabilityMCQ+4 / −1
If AAA and BBB are two events such that P(A∩B)=0.1P(A \cap B)=0.1P(A∩B)=0.1, and P(A∣B)P(A \mid B)P(A∣B) and P(B∣A)P(B \mid A)P(B∣A) are the roots of the equation 12x2−7x+1=012 x^2-7 x+1=012x2−7x+1=0, then the value of P(Aˉ∪Bˉ)P(Aˉ∩Bˉ)\frac{P(\bar{A} \cup \bar{B})}{P(\bar{A} \cap \bar{B})}P(Aˉ∩Bˉ)P(Aˉ∪Bˉ)​ is :
  1. A
    43\frac{4}{3}34​
  2. B
    74\frac{7}{4}47​
  3. C
    94\frac{9}{4}49​
  4. D
    53\frac{5}{3}35​
PreviousNext

More from Probability

  • One die has two faces marked 1 , two faces marked 2 , one face marked 3 and one face marked 4 . Another die has one face marked 1 , two faces marked 2 , two faces marked 3 and one face marked 4. The probability of getting the sum of…2025 · MCQ
  • A board has 16 squares as shown in the figure : Out of these 16 squares, two squares are chosen at random. The probability that they have no side in common is : Includes diagram2025 · MCQ
  • A and B alternately throw a pair of dice. A wins if he throws a sum of 5 before B throws a sum of 8 , and B wins if he throws a sum of 8 before A throws a sum of 5 . The probability, that A wins if A makes the first throw, is2025 · MCQ
  • Let A=[aij​] be a square matrix of order 2 with entries either 0 or 1 . Let E be the event that A is an invertible matrix. Then the probability P(E) is :2025 · MCQ
  • Two number k1​ and k2​ are randomly chosen from the set of natural numbers. Then, the probability that the value of ik1​+ik2​,(i=−1​) is non-zero, equals2025 · MCQ
  • Three defective oranges are accidently mixed with seven good ones and on looking at them, it is not possible to differentiate between them. Two oranges are drawn at random from the lot. If x denote the number of defective oranges, then…2025 · MCQ
  • Bag B1​ contains 6 white and 4 blue balls, Bag B2​ contains 4 white and 6 blue balls, and Bag B3​ contains 5 white and 5 blue balls. One of the bags is selected at random and a ball is drawn from it. If the ball is white, then the…2025 · MCQ
  • Let S be the set of all the words that can be formed by arranging all the letters of the word GARDEN. From the set S, one word is selected at random. The probability that the selected word will NOT have vowels in alphabetical order is:2025 · MCQ