Question

There are 15 players on a co-ed volleyball team. There are 10 girls and 5 boys. The coach would like to send 4 players to a weekend volleyball clinic.

a) What is the probability that at least 1 of the players sent to the clinic is a girl? [3]
P (x=1)= (9 C 1) (6 C 5) / 15 C 4
= 9 x 6/ 1365
= 0.040

The probability is 0.040.

b) What is the expected number of girls to be sent to the clinic? [2]
E(x)= 4 x 10/ 15
= 2.667

Answer 1

Hey, I was wondering if I did this right. Could you check? @jim_thompson5910

Answer 2

a)

P(No girls sent) = ((10 C 0)*(5 C 4))/(15 C 4)


P(No girls sent) = (1*5)/(1365)


P(No girls sent) = (5)/(1365)


P(No girls sent) = 1/273


P(At least one girl sent) = 1 - P(No girls sent)


P(At least one girl sent) = 1 - 1/273


P(At least one girl sent) = 272/273


P(At least one girl sent) = 0.996336996

Answer 3

Thanks again!

Answer 4

I was way off then, lol.

Answer 5

one sec while I work the other

Answer 6

just wanted to confirm the answer with a simulation, but you have the correct answer for part b), nice job.

Answer 7

Cool, thanks man. :)

Answer 8

yw