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in Statistics and probability by (54.8k points)

If two different numbers are taken from the set {0, 1, 2, 3, …, 10}; then, the probability that their sum as well as absolute difference are both multiple of 4, is: 

(A) 12/55 

(B) 14/45 

(C) 7/55 

(D) 6/55

1 Answer

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Best answer

Answer is (D) 6/55

We have

n(s) = 11C2 = 55

Now, the favourable events are as follows:

So, the probability that the sum as well as absolute difference, which are both multiple of 4 is

Favarouble events/Total events = 6/55

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