244 JEE Main Probability PYQs (2002–2026) with verified answers and step-by-step solutions.
This page collects every JEE Main Probability previous-year question from Mathematics, 2002–2026. Each links to a full solution with a verified answer key. Click any year above to narrow the list, or open a question to study its step-by-step working and then practice it on PrepSharp's CBT player.
Bag A contains 9 white and 8 black balls, while bag B contains 6 white and 4 black balls. One ball is randomly picked u…
Let S be a set of 5 elements and P(S) denote the power set of S. Let E be an event of choosing an ordered pair (A, B) f…
A random variable X takes values 0,1,2,3 with probabilities (2 a+1)/(30), (8 a-1)/(30), (4 a+1)/(30), b respectively, w…
A bag contains 10 balls out of which k are red and (10-k) are black, where 0 ≤ k ≤ 10. If three balls are drawn at rand…
The probabilities that players A and B of a team are selected for the captaincy for a tournament are 0.6 and 0.4, respe…
A letter is known to have arrived by post either from KANPUR or from ANANTPUR. On the envelope just two consecutive let…
The probability distribution of a random variable X is given below : array|c|c|c|c|c|c|c|c|c| X & 4k & (30)/(7)k & (32)…
A man throws a fair coin repeatedly. He gets 10 points for each head he throws and 5 points for each tail he throws. If…
A coin is tossed 8 times. If the probability that exactly 4 heads appear in the first six tosses and exactly 3 heads ap…
A bag contains (N+1) coins - N fair coins, and one coin with 'Head' on both sides. A coin is selected at random and tos…
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