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Probability Test 4
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Probability Test 4
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  • Question 1/10
    1 / -0

    Out of 6 green ball, 4 blue ball, in how many ways we select one or more balls ?

    Solutions

    Explanation :7*5 = 35

    35 – 1 = 34

     

  • Question 2/10
    1 / -0

    P and Q throw a dice.Find the probability that P’s throw is not greater than Q’s through

    Solutions

    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

     

  • Question 3/10
    1 / -0

    An unbiased die is tossed. Find the probability of getting of getting a multiple of 2.

    Solutions

    Explanation :

    2, 4,6   multiple of 3

    n(E) = 3

    n(S) = 6

    p = 3/6 = 1/2

     

  • Question 4/10
    1 / -0

    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?

    Solutions

    Explanation :

    Toatal numbers of balls = 12

    n(S) = 12C3 = 220

    n(E) = 3C1 ×5C1×4C1  = 4 × 3 × 5 = 60

    P = 60/220 = 3/11

     

  • Question 5/10
    1 / -0

    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 ?

    Solutions

    Explanation :

    n(S) = 2+3+6 = 11

    n(E) = 3

    P = 3/11

     

  • Question 6/10
    1 / -0

    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 ?

    Solutions

    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

     

  • Question 7/10
    1 / -0

    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 ?

    Solutions

    Explanation :

    Total no of shirts = 12C3 = 220

    4c1 × 8c2 = 112

    P = 112/220 = 56/110

     

  • Question 8/10
    1 / -0

    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 ?

    Solutions

    Explanation :

    Total = 2+3+6 = 11

    either red nor green = 2+6 = 8

    p = 8/11

     

  • Question 9/10
    1 / -0

    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 ?

    Solutions

    Explanation :

    4c2 + 3c2 + 5c = 6+3+10  = 19

    12c= 66

    P = 19/66

     

  • Question 10/10
    1 / -0

    From a pack of 52 cards, 3 cards are drawn together at random, What is the probability of both the cards are king ?

    Solutions

    Explanation :

    n(S) = 52C=  132600/6 = 22100

    n(E) = 4C= 24/6 = 4

    p = 4/22100 = 1/5525

     

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