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Three balls are marked with 2, 4 and 6. ...

Three balls are marked with 2, 4 and 6. They are placed in a box and a ball is drawn, its number is noted and the ball drawn is returned to the box. The process is repeated two more times. If the probability to the sum of all three numbers is 12 is `lambda`, then `108 lambda` is equal to

A

28

B

14

C

20

D

10

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • Three balls marked with 1, 2 and 3 are placed in an urn. One ball is drawn, its number is noted, then the ball is returned to the urn. This process is repeated and then repeated once more. Each ball is equally likely to be drawn on each occasion. If the sum of the number noted is 6, then the probability that the ball numbered with 2 is drawn at all the three occassion, is

    A
    `(1)/(27)`
    B
    `(1)/(7)`
    C
    `(1)/(6)`
    D
    `(1)/(3)`

  • A bag contains 5 black and 3 red balls. A ball is taken out from the bag and is not returned to it. If this process is repeated three times, then what is the probability of drawing a black ball in the next draw of a ball?

    A
    0.7
    B
    0.625
    C
    0.1
    D
    None of these

  • A box contains 20 balls numbered as 1, 2, 3, …., 20. A ball is drawn at random from the box. What is the probability that the number on the ball is a prime number?

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    `(1)/(5)`
    B
    `(3)/(5)`
    C
    `(4)/(5)`
    D
    `(2)/(5)`

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