Answer to Question #302069 in Statistics and Probability for Bhshsha

Question

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.

Answer 1

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