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11th Standard English Medium Maths Subject Introduction To Probability Theory Book Back 1 Mark Questions with Solution Part - II

11th Standard

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Maths

Time : 01:00:00 Hrs
Total Marks : 10

    1 Marks

    10 x 1 = 10
  1. A number x is chosen at random from the first 100 natural numbers. Let A be the event of numbers which satisfies\({(x-10)(x-50)\over x-30}\ge0\), then P(A) is

    (a)

    0.20

    (b)

    0.51

    (c)

    0.71

    (d)

    0.70

  2. 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)

    \({7\over 13}\)

  3. If A and B are two events such that P(A) = 0.4, P(B) = 0.8 and P(B/A) = 0.6, then \(P(\overline{A}\cap B )\) is

    (a)

    0.96

    (b)

    0.24

    (c)

    0.56

    (d)

    0.66

  4. There are three events A, B, and C of which one and only one can happen. If the odds are 7 to 4 against A and 5 to 3 against B, then odds against C is

    (a)

    23: 65

    (b)

    65: 23

    (c)

    23: 88

    (d)

    88: 23

  5. If a and b are chosen randomly from the set {1,2,3,4} with replacement, then the probability of the real roots of the equation \(x^2+ax+b=0\) is

    (a)

    \({3\over 16}\)

    (b)

    \({5\over 16}\)

    (c)

    \({7\over 16}\)

    (d)

    \({11\over 16}\)

  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. 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)

    \({7\over 11}\)

  8. Ten coins are tossed. The probability of getting at least 8 heads is

    (a)

    \(7\over 64\)

    (b)

    \(7\over 32\)

    (c)

    \(7\over 16\)

    (d)

    \(7\over 128\)

  9. 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

  10. If m is a number such that m \(\le\) 5, then the probability that quadratic equation 2x2 + 2mx + m + 1 = 0 has real roots is

    (a)

    \({1\over 5}\)

    (b)

    \({2\over 5}\)

    (c)

    \({3\over 5}\)

    (d)

    \({4\over 5}\)

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