JEE · Maths · Probability doubts

What does “Basic probability” actually mean in Probability, and why does it matter for JEE?

probability = favourable outcomes ÷ total outcomes, always between 0 and 1.

I keep getting “Basic probability” questions wrong in Probability. What's the trap?

giving a probability greater than 1.

What does “Independent vs mutually exclusive” actually mean in Probability, and why does it matter for JEE?

independent events don't affect each other; mutually exclusive events cannot both happen.

I keep getting “Independent vs mutually exclusive” questions wrong in Probability. What's the trap?

treating mutually exclusive events as independent.

What does “Conditional probability” actually mean in Probability, and why does it matter for JEE?

P(A|B) is the probability of A given that B has occurred, equal to P(A∩B)/P(B).

I keep getting “Conditional probability” questions wrong in Probability. What's the trap?

assuming P(A|B) equals P(B|A).

What is the difference between independent events and mutually exclusive events?

Independent events don't influence each other's probability; mutually exclusive events can't co-occur (so they're dependent).

What is the difference between P(A|B) and P(B|A)?

These conditional probabilities ask different questions and are generally unequal — Bayes' theorem relates them.

When do I use P(A∪B) = P(A)+P(B)−P(A∩B) in Probability, and what does it mean?

the addition rule.

When do I use P(A|B) = P(A∩B)/P(B) in Probability, and what does it mean?

conditional probability.

How is Probability tested in JEE, and what should I focus on?

Prioritise the core ideas: Basic probability, Independent vs mutually exclusive, Conditional probability.

What are the most common mistakes students make in Probability?

mutually exclusive events cannot both occur, so they are dependent, not independent.

How do I revise Probability quickly before the exam?

One-page summary of Basic probability, Independent vs mutually exclusive, Conditional probability, then timed previous-year questions.