Probability for JEE

• P(A ∪ B) = P(A) + P(B) − P(A ∩ B)
• Independent: P(A ∩ B) = P(A)P(B)
• Bayes' theorem reverses conditional probability
• Binomial: n independent trials, constant p

• P(A|B) = P(A ∩ B)/P(B)
• Bayes: P(Eᵢ|A) = P(Eᵢ)P(A|Eᵢ)/Σ P(Eⱼ)P(A|Eⱼ)
• Binomial: P(X = r) = ⁿCᵣ pʳ qⁿ⁻ʳ; mean np, variance npq
• P(at least one) = 1 − P(none)

Printable Probability formula sheet: formulas, key ideas and traps on one page. Save it as a PDF for offline revision.

• Confusing independent and mutually exclusive events
• Wrong sample space size
• Forgetting order in sampling without replacement

Appears in almost every JEE Main shift. Very frequent. Bayes and binomial questions are the usual pattern.

Prerequisites: Permutations and Combinations.

Chapter names follow the current rationalised NCERT textbooks. Read these sections before solving PYQs.

Full-chapter free lectures picked from YouTube search results by views, from established JEE channels (mostly in Hinglish). Use the subtopic list to jump straight to the part you need (timestamps come from each video's own chapter list). Watch one, then solve PYQs the same day.

• PROBABILITY in 1 Shot: All Concepts & PYQs Covered || JEE Main & Advanced — JEE Wallah, 7:42:47
  Jump to a subtopic (14)

  • 00:00 Introduction
  • 03:11 Weightage & Previous year analysis
  • 05:09 General terminology
  • 16:09 Definition
  • 41:25 Probability using P&C
  • 3:25:00 Probability using set theory
  • 4:32:55 Independent events
  • 5:17:32 Conditional probability
  • 6:04:15 Total probability theorem
  • 7:09:49 Random variable
  • 7:13:12 Probability distribution
  • 7:17:28 Mean, Variance and S.D.
  • 7:27:20 Bernoulli’s trial
  • 7:46:42 Thank You Bacchon
• Probability | One Shot | #BounceBack Series | JEE Maths | Unacademy Atoms | Nishant Vora — JEE Legends, 7:09:19
  Jump to a subtopic (28)

  • 00:00 Introduction
  • 7:16 Random experiment
  • 11:15 Sample space
  • 19:31 event
  • 22:28 compliment of event
  • 23:07 classical definition of probability
  • 28:25 Double dice problems
  • 42:01 deck of cards
  • 49:19 P&C based questions
  • 1:11:57 types of events
  • 1:15:49 equally likely
  • 1:17:21 Mutually exclusive
  • 1:23:00 exhaustive
  • 1:26:00 dependent and independent
  • 1:35:00 addition theorem on probability
  • 2:14:00 BREAK
  • 2:42:02 conditional probability
  • 3:02:00 multiplication theorem
  • 3:38:00 infinite gp
  • 4:19:00 total probability theorem and Bayes theorem
  • 4:50:00 Break
  • 5:15:00 binomial probability
  • 5:57:00 probability distribution table
  • 6:07:12 Mean and variance of probability distribution
  • 6:15:07 binomial probability distribution
  • 6:24:08 geometrical probability
  • 6:33:24 mathematical expectation
  • 6:45:14 coincidence testimony

• 9 JEE Main 2026 PYQs on Probability, with solutions.
• Read the chapter in NCERT textbooks (official, free), then solve its NCERT Exemplar (official, free) questions.
• Chapter-wise past questions: JEE Main and Advanced PYQs and question bank.
• Timed practice tests: NTA Abhyas practice tests (official, free) and our free mock tests.
• See it move: interactive simulation.