Mathematics · JEE

Important Questions: Probability: Probability of an event, addition and multiplication theorems of probability for JEE

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Q1MathsUnit 13: Statistics and Probability

The probability of an even happens in one trial of an experiment is

0.3 .

Three independent trials of the experiments are performed. Find the probability that the event A happens at least once.

Q2MathsUnit 13: Statistics and Probability

A

and

B

are independent events such that

\mathbf{0}<\boldsymbol{P}(\boldsymbol{A})<\mathbf{1}, \mathbf{0}<\boldsymbol{P}(\boldsymbol{B})<\mathbf{1},

then This question has multiple correct options

Q3MathsUnit 13: Statistics and Probability

What is the probability of selecting two spade cards from a pack of 52 cards?

Q4MathsUnit 13: Statistics and Probability

Choosing a marble from a jar and landing on heads after tossing a coin is an act of

Q5MathsUnit 13: Statistics and Probability

Let

A

and

B

be two events such that

P(\overline{A \cup B})=\frac{1}{6}, P(A \cap B)=\frac{1}{4}

and

P(\bar{A})=\frac{1}{4},

where

\bar{A}

stands for the complement of the event A. Then the events

A

and

B

are?

Q6MathsUnit 13: Statistics and Probability

When a coin is tossed at random, then the probability of getting a head is

Q7MathsUnit 13: Statistics and Probability

A machine has three parts,

A, B

and

C

whose chances of being defective are 0.02,0.10 and 0.05 respectively. The machine stops working if any one of the arts becomes defective. What is the probability that the machine will not stop working?

Q8MathsUnit 13: Statistics and Probability

A

and

B

are two events where

P(A)=

0.25 and

P(B)=0.5 .

The probability of both happening together is 0.14 . The probability of both

A

and

B

not happening is

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Important questions test core concepts that appear frequently across JEE Main and Advanced papers — definitions, standard formulas, and classic problem types.

Which subtopics in Statistics and Probability are high-weightage?

Key areas include Probability: Probability of an event, addition and multiplication theorems of probability. Prioritise these before moving to edge cases.

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Revise 30–50 important MCQs per unit in the last month before JEE. Focus on questions you got wrong at least once.

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