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1 Probability

Let 20 distinct balls have been randomly distributed into 4 distinct boxes, 5 into each. Let 'A' be the event that two specific balls have been put into a particular box. The probability of occurrence of event 'A' is -

1) 1 / 19
2) 4 / 19
3) 8 / 19
4) 2 / 19

Option 1 Solution:

SOLUTION

Let the boxes be B₁, B₂, B₃, B₄
Let us assume that two specific balls have been put in box Bi
(i = 1,2,3,4). It means in box Bi
we have to put 3 balls from the remaining 18 balls. Thus the probability that the two specific balls have been put in the particular box

Option 2

Option 3

Option 4

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