Mathematics · JEE

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

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Syllabus context

Part of Statistics and Probability in JEE Main Mathematics.

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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

Mr. Dixit resigned from the company after 4 years of service.

Q4MathsUnit 13: Statistics and Probability

For two events

A

and

B

, if

P(A)=

\boldsymbol{P}(\boldsymbol{A} \mid \boldsymbol{B})=\mathbf{1} / \mathbf{4}

and

\boldsymbol{P}(\boldsymbol{B} \mid \boldsymbol{A})=\mathbf{1} / 2,

then This question has multiple correct options

Q5MathsUnit 13: Statistics and Probability

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

Q6MathsUnit 13: Statistics and Probability

\boldsymbol{P}(\boldsymbol{A})=\boldsymbol{P}(\boldsymbol{B}),

then the two events

\boldsymbol{A}

and

B

are -

Q7MathsUnit 13: Statistics and Probability

A manufactacturer buys raw material for Rs. 60,000 and pays

4 \%

tax. He sells the ready stocks for Rs. 92,000 and charges

12.5 \%

tax. Find the VAT paid by the manufacturer.

Q8MathsUnit 13: Statistics and Probability

The length of life of an instrument produced by a machine has a normal distribution with a mean of 12 months and standard deviation of 2 months. Find the probability that an instrument produced by this machine will last less than 7 months.

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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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