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Quants Questions: Probability Set 2

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Hello Aspirants. Welcome to Online Maths in AffairsCloud.com. Here we are creating question sample in Probability, which is common for all the competitive exams. We have included Some questions that are repeatedly asked in exams !!

  1. Out of 6 green ball, 4 blue ball, in how many ways we select one or more balls ?
    A)42
    B)34
    C)31
    D)22
    E)None of these
    B)34
    Explanation :7*5 = 35
    35 – 1 = 34

  2. P and Q throw a dice.Find the probability that P’s throw is not greater than Q’s through
    A)7/5
    B)12/7
    C)7/12
    D)7/11
    E)None of these
    C)7/12
    Explanation :
    A         B
    1          1 2 3 4 5 6
    2          2 3 4 5 6
    3          3 4 5 6
    4          4 5 6
    5          56
    6          6
    n(E) = 21
    n(S) = 36
    P = 21/36 = 7/12

  3. An unbiased die is tossed. Find the probability of getting of getting a multiple of 2.
    A)2
    B)3
    C)1/2
    D)1/3
    E)None of these
    C)1/2
    Explanation :
    2, 4,6   multiple of 3
    n(E) = 3
    n(S) = 6
    p = 3/6 = 1/2

  4. A bag contains 3 green, 5 black and 4 brown balls. 3 balls are drawn randomly. What is the probability that balls drawn contain different colours of balls?
    A)11/7
    B)2/11
    C)11/3
    D)3/11
    E)None of these
    D) 3/11
    Explanation :
    Toatal numbers of balls = 12
    n(S) = 12C3 = 220
    n(E) = 3C1 ×5C1×4C1  = 4 × 3 × 5 = 60
    P = 60/220 = 3/11

  5. A bag contain 2 red, 3 blue and 6 green plates. One plate is taken up randomly. What is the probability that it is neither red nor green ?
    A)3/11
    B)2/11
    C)7/11
    D)11/3
    E)None of these
    A)3/11
    Explanation :
    n(S) = 2+3+6 = 11
    n(E) = 3
    P = 3/11

  6. In a college 10% of the students speaking English, 70%  speaking Hindi and 10% speaking both.If a students is selected at random, what is the probability of the students who speak English or Hindi ?
    A)9/5
    B)10/7
    C)7/10
    D)5/7
    E)None of these
    C)7/10
    Explanation :
    P(a) = 10/100 = 1/10
    P(b) = 70/100 = 7/10
    P(both) = 10/100 = 1/10
    P(a U b) = (1+7-1)/10 = 7/10

  7. A bag contains 4 pink dresses, 5 red shirts and 3 yellow shirts. 3 dresses are drawn randomly. What is the probability that exactly one of them is pink ?
    A)65/104
    B)56/110
    C)25/110
    D)36/28
    E)None of these
    B)56/110
    Explanation :
    Total no of shirts = 12C3 = 220
    4c1 × 8c2 = 112
    P = 112/220 = 56/110

  8. A bag contain 2 red, 3 blue and 6 green plates. One plate is taken up randomly. What is the probability that it is either red or green ?
    A)8/11
    B)11/8
    C)10/7
    D)3/11
    E)None of these
    A)8/11
    Explanation :
    Total = 2+3+6 = 11
    either red nor green = 2+6 = 8
    p = 8/11

  9. In a box 4 blue pens, 3 red pens and 5 black pens. If 2 pens taken from the box, What is the probability that both of them are same colour pens ?
    A)66/19
    B)15/28
    C)18/35
    D)19/66
    E)None of these
    D)19/66
    Explanation :
    4c2 + 3c2 + 5c2  = 6+3+10  = 19
    12c2 = 66
    P = 19/66

  10. From a pack of 52 cards, 3 cards are drawn together at random, What is the probability of both the cards are king ?
    A)1/5225
    B)1/5525
    C)5525
    D)1/525
    E)None of these
    B)1/5525
    Explanation :
    n(S) = 52C3 =  132600/6 = 22100
    n(E) = 4C3 = 24/6 = 4
    p = 4/22100 = 1/5525