A) \[\frac{14}{29}\]
B) \[\frac{16}{29}\]
C) \[\frac{15}{29}\]
D) \[\frac{10}{29}\]
Correct Answer: C
Solution :
The total number of ways in which 2 integers can be chosen from the given 30 integers is \[^{30}{{C}_{2}}.\] The sum of the selected numbers is odd if exactly one of them is even and one is odd. \ Favourable number of outcomes = \[^{15}{{C}_{1}}{{.}^{15}}{{C}_{1}}\] \[\therefore \] Required probability \[=\frac{^{15}{{C}_{1}}.{{\,}^{15}}{{C}_{1}}}{^{30}{{C}_{2}}}=\frac{15}{29}\].
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