JEE Advanced Probability — practice questions — page 2

Explore 33 free Probability questions in JEE Advanced Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Probability questions and exercises with answers

Showing questions 31–33 of 33.

In the classical definition, the probability of an event E is:Read the answer and worked solution →Match the probability term to its formulaRead the answer and worked solution →Probability claims — true or false?Read the answer and worked solution →

Worked practice questions

In the classical definition, the probability of an event E is:

$\dfrac{\text{favourable outcomes}}{\text{total outcomes}}$
favourable outcomes only
total outcomes only
$\text{favourable}\times\text{total}$

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Correct answer: A. $\dfrac{\text{favourable outcomes}}{\text{total outcomes}}$

Classical probability = (number of favourable outcomes)/(total number of equally-likely outcomes).

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Match the probability term to its formula

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Matching pairs

Left
P(A ∪ B)
Right
P(A) + P(B) − P(A ∩ B)
Left
P(A | B)
Right
P(A ∩ B) / P(B)
Left
Independent A,B
Right
P(A ∩ B) = P(A)·P(B)

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Probability claims — true or false?

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Questions

Statement is true
Yes
Statement
P(A) is always between 0 and 1.
Statement is true
Yes
Statement
Sum of probabilities of all outcomes equals 1.
Statement is true
Yes
Statement
If A and B are mutually exclusive, P(A ∩ B) = 0.
Statement is true
No
Statement
Independent events are always mutually exclusive.
Statement is true
Yes
Statement
P(A) + P(not A) = 1.

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