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11th Standard Maths Introduction To Probability Theory English Medium Free Online Test One Mark Questions 2020 - 2021

11th Standard

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Maths

Time : 00:10:00 Hrs
Total Marks : 10

    Answer all the questions

    10 x 1 = 10
  1. Let A and B be two events such that \(P(\overline{A\cup B})={1\over6}, P(A\cap B)={1\over4}\) and \({P(\overline{A})}={1\over4}\)Then the events A and B are 

    (a)

    Equally likely but not independent

    (b)

    Independent but not equally likely

    (c)

    Independent and equally likely

    (d)

    Mutually inclusive and dependent

  2. A man has 3 fifty rupee notes, 4 hundred rupees notes, and 6 five hundred rupees notes in his pocket. If 2 notes are taken at random, what are the odds in favour of both notes being of hundred rupee denomination?

    (a)

    1:12

    (b)

    12:1

    (c)

    13:1

    (d)

    1:13

  3. If A and B are two events such that A⊂B and P(B)\(\neq o\) ,then which of the following is correct?

    (a)

    \(P(A/B)={P(A)\over P(B)}\)

    (b)

    P(A/B)<P(A)

    (c)

    P(A/B)\(\ge\)P(A)

    (d)

    P(A/B)>P(B)

  4. If X and Y be two events such that P(X/Y) = \({1\over2},P(Y/X)={1\over3}\) and \(P(X\cap Y)={1\over6}\)then P(X\(\cup\)Y) is

    (a)

    \({1\over3}\)

    (b)

    \({2\over5}\)

    (c)

    \({1\over6}\)

    (d)

    \({2\over3}\)

  5. If two events A and B are such that \(P(\overline{A})={3\over10}\) and \(P(A \cap \overline{B})={1\over2},\) then \(P(A\cap B)\) is

    (a)

    \({1\over2}\)

    (b)

    \({1\over3}\)

    (c)

    \({1\over4}\)

    (d)

    \({1\over5}\)

  6. It is given that the events A and B are such that \(P(A)={1\over4},P(A/B)={1\over2}\) and \(P(B/A)={2\over3}.\) Then P(B) is

    (a)

    \({1\over 6}\)

    (b)

    \({1\over 3}\)

    (c)

    \({2\over 3}\)

    (d)

    \({1\over 2}\)

  7. A coin is tossed three times. If events A and B are defined as A = Two heads occurs B = Last should be head. Then A and B are

    (a)

    Independent

    (b)

    dependent

    (c)

    both

    (d)

    mutually exclusive

  8. If S is the sample space, P(A) = \(\frac { 1 }{ 3 } \)  P(B) and S = A\(\cup \)B, where A and B are mutually exclusive events then P(A) =

    (a)

    \(\frac { 1 }{ 4 } \)

    (b)

    \(\frac { 1 }{ 2 } \)

    (c)

    \(\frac { 3 }{ 4 } \)

    (d)

    \(\frac { 3 }{ 8 } \)

  9. If A and B are two events such that P(A) = \(\frac { 4 }{ 5 } \) and \(P(A\cap B)=\frac { 7 }{ 10 } \) then P(B/A) = 

    (a)

    \(\frac { 1 }{ 10 } \)

    (b)

    \(\frac { 1 }{ 8 } \)

    (c)

    \(\frac { 7 }{ 8 } \)

    (d)

    \(\frac { 17 }{ 20 } \)

  10. If P(B)=\(\frac { 3 }{ 5 } \)P(A/B) = \(\frac { 1 }{ 2 } \) and \(P(A\cup B)=\frac { 4 }{ 5 } \), then P(A) is

    (a)

    \(\frac { 3 }{ 10 } \)

    (b)

    \(\frac { 1 }{ 2 } \)

    (c)

    \(\frac { 1 }{ 10 } \)

    (d)

    \(\frac { 3 }{ 5 } \)

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