Six people are chosen by lot from a group of 15 people to fill six dis...

Question

Question

Six people are chosen by lot from a group of 15 people to fill six dis tinct positions. If we label the 15 people from 1 through 15

(a) what is the probability that person 1 is selected?

(b) what is the probability that persons 4, 5, 6 , 7, 14 and 15 are selected?

Answer 1

Answer #1

a) Number of people to be selected = 6

Total number of people = 15

P(person 1 is selected) = 6/15

= 0.4

b) Number of ways in which 6 people can be selected from 15 = 15C6 (nCr = n!/(r! x (n-r)!)

= 15!/(6! x 9!)

= 5005

P(persons 4, 5, 6 , 7, 14 and 15 are selected) = 1/5005

= 0.0002

Answer 2

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Six people are chosen by lot from a group of 15 people to fill six dis­...