Probability (Part 1/3) JEE Main PYQ + Theory | Prabhat Ranjan

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Probability (Part 1/3) JEE Main PYQ + Theory | Prabhat Ranjan

Probability Question 1-10 (Part 1/3) Class 11, 12 Mathematics Boards, JEE Main, JEE Advanced, IIT JEE Full course from basic JEE Main Question Practice JEE Main PYQ + Theory by Prabhat Ranjan for class 12, boards, IIT JEE 2025, JEE Main 2025, JEE Advanced 2025, IIT JEE 2026, JEE Main 2026, JEE Advanced 2026.

"Probability (Part 1/3) JEE Main PYQ + Theory" by Prabhat Ranjan covers questions 1-10, introducing key concepts in probability for students in Class 11 and 12 preparing for board exams, JEE Main, and JEE Advanced for 2025 and 2026. This session delves into the foundational aspects of probability, providing a comprehensive understanding through previous year questions and theoretical explanations. The content is tailored to build a solid foundation, ensuring that students can approach probability problems with confidence in competitive exams.

All these aspects have been covered by Prabhat Ranjan in full detail in his new YouTube video.

I am Prabhat Ranjan, currently pursuing B.Tech in Mechanical Engineering from NIT Jamshedpur.

Timeline:
00:00 Introduction
01:32 1) Let in a Binomial distribution, consisting of 5 independent trials, probabilities of exactly 1 and 2 successes be 0.4096 and 0.2048 respectively. Then the probability of getting exactly 3 successes is equal to
05:54 2) Words with or without meaning are to be formed using all the letters of the word EXAMINATION. The probability that the letter M appears at the fourth position in any such word is
07:49 3) Four dice are thrown simultaneously and the numbers shown on these dice are recorded in 2 x 2 matrices. The probability that such formed matrices have all different entries and are non-singular, is
18:15 4) 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(3/4)^9 then k lies in the set
24:58 5) Let x be a random variable such that the probability function of a distribution is given by P(X=0) =1/2, P(X = J ) = 1/(3^j) ( j = 1,2,3 ,…..,,oo) then themean of the distribution and P(X is positive and even) respectively are
31:19 6) The probability that a randomly selected 2-digit number belongs to the set {n € N : (2" -2) is a multiple of 3} is equal to
36:17 7) 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 greater than 5 X greater than 2) is
45:43 8) Two squares are chosen at random on a chessboard (see figure). The probability that they have a side in common is
49:34 9) If a random variable X follows the Binomial Distribution B(5,p) such that P(X=0)=P(X=1), then P(X=2)/P(X=3) is equal to
55:02 10) Let a biased coin be tossed 5 times. If the probability of getting 4 heads is equal to the probability of
getting 5 heads, then the probability of getting at most two heads is

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