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Q.

Two number k1 and k2 are randomly chosen from the set of natural numbers. Then, the probability that the value of ik1+ik2,(i=(-1)) is non-zero, equals

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a

2/3

b

1/4

c

3/4

d

1/2

answer is C.

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Detailed Solution

ik1+ik2≠0 ik1→4 option for i,−1,−i,1

Total number of cases=4×4=16

For unfavourable cases ik1+ik2=0

1,−1, −1,1, i,−i,−i,i  

Number of unfavourable cases =4

  Probability =16−416=34

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