Correct Answer - Option 4 : 183/260
GIVEN:
Total students = 40
Boys = 22
FORMULA USED:
P = Favorable outcome/Total outcome
nCr = n!/r!(n - r)!
CALCULATION:
Number of girls = 18
Ways of selecting one girl and a boy = 22C1 × 18C1 = 22 × 18 = 396
Ways of selecting 2 girls = 18C2 = 153
Ways of selecting at least one girl = 396 + 153 = 549
Required P = 549/40C2 = 549/780
⇒ 183/260
∴ The answer is 183/260.