NCERT/Class 12/Mathematics/Probability

Probability

Class 12 · Mathematics

37 questions14 easy12 medium11 hard

Sample Questions

Q1.Which of the following is the property of conditional probability P(E'|F)?

  • AP(E'|F) = 1 + P(E|F)
  • BP(E'|F) = P(F|E')
  • CP(E'|F) = 1 - P(E|F)
  • DP(E'|F) = P(E|F)

Q2.An urn has 10 black and 5 white balls. Two are drawn without replacement. P(both black) is:

  • A2/7
  • B3/7
  • C10/15
  • D9/21

Q3.A man speaks truth 3 out of 4 times. He reports a die shows 6. P(actually 6) is:

  • A3/8
  • B1/6
  • C3/4
  • D1/4

Q4.Which of the following correctly distinguishes independent events from mutually exclusive events?

  • AThey mean exactly the same thing
  • BMutually exclusive events have no common outcome; independent events may have common outcomes
  • CIndependent events have no common outcome; mutually exclusive events may
  • DBoth require P(A ∩ B) = 0

Q5.A die is thrown twice. P(sum = 6) given that 4 appears at least once is:

  • A2/11
  • B2/5
  • C1/6
  • D5/36

Q6.This is a sample question to preview what you'll get in the full practice test...

  • A. Option one
  • B. Option two
  • C. Option three
  • D. Option four
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Concepts Covered

Bayes TheoremConditional ProbabilityIndependent EventsMultiplication TheoremMutually Exclusive vs IndependentPartition of Sample SpacePrior and Posterior ProbabilityProperties of Conditional ProbabilityTheorem of Total Probability

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