Ques no 45

Dear Student,

Let S be sample space associated with the selection of 3 persons out of 5 
Therefore, n(s) = ⁵C₃ = 10
 

Let event E₁  be the event of selecting 1 men and 2 women and E₂ be the event of selecting 2 men and 1 women

n(E₁)  =  ³C₁  ×  ²C₂   = 3

n(E₂)  =  ³C₂  ×  ²C₁   = 6

Here E₁ & E₂ = ϕ i.e, E₁ & E₂ are mutually exclusive. Now E₁ μ E₂ is the event or selecting 1 men and 2 women or 2 men and 1 women is 

P(E₁ μ E₂) = P(E₁) + P(E₂) 
                   = 3 / 10 + 6 / 10 
                  =  9 / 10  ( Ans. )

Regards,