Six women and five men walk into an appliance store at the same time. There are five salesperson available to help them.Find the probability that a salesperson will first help at least 2 women.

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we define the total number of men and women = (5+6) = 11

we define (11C5) = 462

let X be the number of women to be helped first

p(x≥2) = 1 - ( P(x=0) + P(x=1) )

we define p(x=0) = ( (6C0) * (5C5) ) / (11C5) = 1/462

we define p(x=1) =( (6C1) * ( 5C4) ) / (11C5) = 30/462

Thus p(x≥2) = 1 - ( (1/462) + (30/462) )

= (431/462) = 0.932900432