Q.

From first thirty natural numbers, 2 numbers are selected at random, the probability that the selected numbers are such that their sum is even is

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a

15C230C2

b

130C2

c

1530C2

d

15C2+15C230C2

answer is D.

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Detailed Solution

out of 30 consecutive natural numbers 15 are even and 15 are odd=15C2+15C230C2
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From first thirty natural numbers, 2 numbers are selected at random, the probability that the selected numbers are such that their sum is even is