posted by .

Hi. economyst. Thanks for your help with my other questions. But I am still stuck with this question:

@@@@My question: Rain is an amazing singer, but cannot play any instruments. He desperately wants a rock band that has a drummer, a guitarist, a bass player, and himself on vocals. He decides to post an ad at the local coffee house for open auditions for his band - The Combinations.
At the auditions, Rain gets 5 females and 9 males trying out for the remaining 3 positions in the band that can play all the instruments.

a) What is the probability that the band will have 3 males and 1 female?

b) What is the probability that the band will have at least 2 males?@@@@

* Another Data Management Question - economyst, Saturday, September 26, 2009 at 11:02am

Follow the logic i gave you in your previous post. Remember, the formula for n-choose-x is n!/x!*(n-x)! where ! means factorial.

* Another Data Management Question - economyst, Saturday, September 26, 2009 at 1:43pm

hint for b) Since Rain is male, having at least two males means picking at least one male. Which is equal to (1-P) where P is the probability of picking 3 females.@@@@

I would be really greatful if you help me solve it. Thanks again. :)

Out of the 14 try-outs, he picks 3. The possible combinations are 14-choose-3 = 14!/3!*(14-3)! = (12*13*14)/(1*2*3) = 364

a) to get 3 M and 1 F, besides himself he needs to pick 2 M and 1 F. There are 9-choose-2 possible picks of the males. and 4-choose-1 females. Following the n-choose-x formula:
8*9/2 = 36 possible male picks and
4/1 = 4 female.
So the total possible ways to pick 2 males and 1 female is 36*4=144, The probability is therefore 144/364

b) From my hint, the prob of getting at least 2 Males is (1-P) where P is the probability of getting all female. The number of ways to pick 3 females out of the 4 available is 4-choose-3 = 4!/3!(4-3)! = 4. So P= 4/364.

## Similar Questions

1. ### Macroeconomics - inflation!

Hi! I had to graph inflation/unemployment... Why did the inflation rate start increasing and the unemployment rate started decreasing after 2000?
2. ### econ (economyst)

The real exchange rate between Canada and U.S. must be unity if LOOP is found held for all the common goods that are consumed in both countries. True or False?

Economyst, please help Rubax__ a U.S. manufacturer of athletic shoes, estimates the following linear trend model for shoe sales: Qt= a + bt + c1D1 + c2D2 + c3D3 Where Qt= sales of athletic shoes in the tth quarter t= 1, 2,…., 28[2001(I), …
4. ### Another Data Management Question

Rain is an amazing singer, but cannot play any instruments. He desperately wants a rock band that has a drummer, a guitarist, a bass player, and himself on vocals. He decides to post an ad at the local coffee house for open auditions …
5. ### To: Economyst

I did mean Q Suppose you are the manager of a small chemical company operating in a competitive market. Your cost of production can be expressed as C = 100 + Q2, where Q is the level of output and C is total cost. a. Is this a short-run …
6. ### Music

Hello my teacher gave us question and he said to find our from any where well Question is..... Q1. Who was and still is the famous singer ever he was when I was young and he also was till now* i have doubt in 1 Famous singer who died …
7. ### RES/351

Identify a management dilemma you face at work or at an organization with which you were previously employed. Using the Management-Research Question Hierarchy in , develop the management questions, research questions, investigative …
8. ### Math

Use the following information to determine the number of people in each region of the Venn Diagram 174 people were asked which of these instruments that they could play: Piano, Drums, or Guitar. 33 people could play none of these instruments. …
9. ### Data Management

In a multiple choice test that contains ten questions with each question having five possible answers, what is the probability that Colin will pass the test if he merely guesses at each question?
10. ### math data management

a multiple choice quiz has 10 questions. each question has five possible answers.carman is certain that she knows the correct answers for questions 1 and 4. if she guesses the other questions, determine the probability that she gets …

More Similar Questions