Question

In a company of 20 people 5 are graduate. If 3 people are selected randomly then what is the probability that one of them be graduate ?

Answer 1

Total number of ways in which 3 person are to be select out of 20 = ²⁰C₃

Total number of ways to select one graduate = ⁵C₂

and not to select any graduate = ¹⁵C₂

∴ Total favaurable situations = ¹⁵C₂ × ⁵C₁

Hence, required probability