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11th Standard Maths Introduction To Probability Theory English Medium Free Online Test One Mark Questions with Answer Key 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. A number is selected from the set {1,2,3,...,20}.The probability that the selected number is divisible by 3 or 4 is

    (a)

    \({2\over5}\)

    (b)

    \({1\over8}\)

    (c)

    \({1\over2}\)

    (d)

    \({2\over3}\)

  2. A bag contains 5 white and 3 black balls. Five balls are drawn successively without replacement. The probability that they are alternately of different colours is

    (a)

    \({3\over 14}\)

    (b)

    \({5\over 14}\)

    (c)

    \({1\over 14}\)

    (d)

    \({9\over 14}\)

  3. A bag contains 6 green, 2 white, and 7 black balls. If two balls are drawn simultaneously, then the probability that both are different colours is

    (a)

    \({68\over 105}\)

    (b)

    \({71\over 105}\)

    (c)

    \({64\over 105}\)

    (d)

    \({73\over 105}\)

  4. If two events A and B are independent such that P(A)=0.35 and \(P(A\cup B)=0.6\) ,then P(B) is

    (a)

    \({5\over 13}\)

    (b)

    \({1\over 13}\)

    (c)

    \({4\over 13}\)

    (d)

    \({7\over 13}\)

  5. In a certain college 4% of the boys and 1% of the girls are taller than 1.8 meter. Further 60% of the students are girls. If a student is selected at random and is taller than 1.8 meters, then the probability that the student is a girl is

    (a)

    \({2\over 11}\)

    (b)

    \({3\over 11}\)

    (c)

    \({5\over 11}\)

    (d)

    \({7\over 11}\)

  6. The probability of two events A and B are 0.3 and 0.6 respectively. The probability that both A and B occur simultaneously is 0.18. The probability that neither A nor B occurs is

    (a)

    0.1

    (b)

    0.72

    (c)

    0.42

    (d)

    0.28

  7. A bag contains 5 black balls, 4 white balls and 3 red balls. If a ball is selected at random, the probability that it is black or red ball is

    (a)

    \(\frac { 1 }{ 3 } \)

    (b)

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

    (c)

    \(\frac { 5 }{ 12 } \)

    (d)

    \(\frac { 2 }{ 3 } \)

  8. A box contains 10 good articles and 6 with defects. One item is drawn at random. The probability that it is either good or has a defect is

    (a)

    \(\frac { 64 }{ 64 } \)

    (b)

    \(\frac { 49 }{ 64 } \)

    (c)

    \(\frac { 40 }{ 64 } \)

    (d)

    \(\frac { 24 }{ 64 } \)

  9. The probability that in a year of 22nd century, chosen at random there will be 53 Sundays is

    (a)

    \(\frac { 3 }{ 28 } \)

    (b)

    \(\frac { 2 }{ 28 } \)

    (c)

    \(\frac { 7 }{ 28 } \)

    (d)

    \(\frac { 5 }{ 28 } \)

  10. If A and B are two events such that \(P(A\cap B)=\frac { 7 }{ 10 } \) and P(B) = \(\frac { 17 }{ 20 } \) , then P(A/B) =

    (a)

    \(\frac { 14 }{ 17 } \)

    (b)

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

    (c)

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

    (d)

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

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