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Easy Probability: Probability of an event, addition and multiplication theorems of probability MCQs for JEE

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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 0.3.0.3 . Three independent trials of the experiments are performed. Find the probability that the event A happens at least once.
Q2MathsUnit 13: Statistics and Probability
If AA and BB are independent events such that 0<P(A)<1,0<P(B)<1,\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
If P(A)=P(B),\boldsymbol{P}(\boldsymbol{A})=\boldsymbol{P}(\boldsymbol{B}), then the two events A\boldsymbol{A} and BB are -
Q5MathsUnit 13: Statistics and Probability
A manufactacturer buys raw material for Rs. 60,000 and pays 4%4 \% tax. He sells the ready stocks for Rs. 92,000 and charges 12.5%12.5 \% tax. Find the VAT paid by the manufacturer.
Q6MathsUnit 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.
Q7MathsUnit 13: Statistics and Probability
A fair die is tossed 1620 times. If getting a face with 6 points is considered as a success, then E(x)=E(x)= …….,V(x)=……..\ldots \ldots ., V(x)=\dots \ldots . .
Q8MathsUnit 13: Statistics and Probability
Choosing a marble from a jar and landing on heads after tossing a coin is an act of

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