SOLUTION: An accounting firm in a college town usually recruits employees from two of the universities in town. This year, there are fifteen graduates from University A and five from Univers
Algebra.Com
Question 622112: An accounting firm in a college town usually recruits employees from two of the universities in town. This year, there are fifteen graduates from University A and five from University B and the firm decides to hire six new employees from the two universities. What is the probability that at least one of the new employees will be from University B?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The probability of 
successes in 
trials where 
is the probability of success on any given trial is given by:
\ =\ {{n}\choose{k}}\left(p\right)^k\left(1\,-\,p\right)^{n\,-\,k})
Where 
is the number of combinations of things taken at a time and is calculated by !})
You need the probability of 1 plus the probability of 2 plus ... and so on up to and including the probability of 6.
\ =\ \sum_{i=k}^n{{n}\choose{i}}\left(p\right)^i\left(1\,-\,p\right)^{n\,-\,i})
Which is a bunch of nasty arithmetic. Easier is to recognize that "at least 1" is all of the outcomes except 0, so you can get your answer from:
\ =\ 1\ -\ {{n}\choose{0}}\left(p\right)^0\left(1\,-\,p\right)^{n\,-\,0})
.
Also note that there are 15 A students and 5 B students, so there are 20 students all together, hence the probability of a B student on any individual trial is 
. Do the indicated arithmetic.
John
My calculator said it, I believe it, that settles it
RELATED QUESTIONS
A consumer goods company recruits several graduating students from universities each... (answered by CPhill,ikleyn)
We drove from town A to town D. In order to get there, we hade to drive thru town B and... (answered by ankor@dixie-net.com)
dear sir,i want answers of these 21 problems..please help me reply me in my email with... (answered by sofiyac,MathTherapy,JamesButler)
A motorist travelled from town x to Town Y. After travelling for 1.5hour, he passed a... (answered by mananth)
Data set A: The annual wages of employees at a small accounting firm are given in... (answered by Alan3354)
The following table shows deaths due to tuberculosis (TB) in two towns. Complete parts... (answered by psbhowmick)
The following table shows deaths due to tuberculosis (TB) in two towns. Complete parts... (answered by psbhowmick)
The population of town A is double that of town B, but it is decreasing at the rate of 5% (answered by jorel1380)
an accounting manager wants to form a three person committee from the 16 employees in the (answered by Edwin McCravy)
