JEE Advanced Probability questions

7 Mathematics questions on Probability as asked in JEE Advanced, newest first.

  1. A student appears for a quiz consisting of only true-false type questions and answers all the questions. The student knows the answers of some questions and guesses the answers for the remaining questions. Whenever the…

    2024

  2. A bag contains N balls out of which 3 balls are white, 6 balls are green, and the remaining balls are blue. Assume that the balls are identical otherwise. Three balls are drawn randomly one after the other without…

    2024

  3. Let X be a random variable, and let P(X=x) denote the probability that X takes the value x. Suppose that the points (x, P(X=x)), x = 0,1,2,3,4, lie on a fixed straight line in the xy-plane, and P(X=x) = 0 for all x ∈ R…

    2024

  4. Consider an experiment of tossing a coin repeatedly until the outcomes of two consecutive tosses are same. If the probability of a random toss resulting in head is 1/3, then the probability that the experiment stops…

    2023

  5. Let X = \(x,y) ∈ Z × Z : (x^2)/8 + (y^2)/20 < 1 and y^2 < 5x \. Three distinct points P, Q and R are randomly chosen from X. Then the probability that P, Q and R form a triangle whose area is a positive integer, is

    2023

  6. Let X be the set of all five digit numbers formed using 1,2,2,2,4,4,0. For example, 22240 is in X while 02244 and 44422 are not in X. Suppose that each element of X has an equal chance of being chosen. Let p be the…

    2023

  7. Paragraph Consider the 6 × 6 square in the figure. Let A_1, A_2, …, A_49 be the points of intersections (dots in the picture) in some order. We say that A_i and A_j are friends if they are adjacent along a row or along…

    2023

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