SOLUTION: The question is: You have 9 male and 7 females to choose from to form a team of 6. What is the probability of choosing either all males, or all females. I think I should use nPr

Algebra ->  Probability-and-statistics -> SOLUTION: The question is: You have 9 male and 7 females to choose from to form a team of 6. What is the probability of choosing either all males, or all females. I think I should use nPr      Log On


   

Question 535579: The question is: You have 9 male and 7 females to choose from to form a team of 6. What is the probability of choosing either all males, or all females.
I think I should use nPr formula, but the given answer in the tutorial was 14/(p)*(d)
If I use nPr, I get:
P = 0.01049 for all male
P = 0.000874 for all female
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
#1 you're reading the question incorrectly. It isn't two separate questions (a. Find the probability of all males. B. Find the probability of all females). It's a compound question asking you to find the probability that it's all males or all females.


Not sure what the answer in the tutorial means. What is p and d?


This is the P(male) OR P(Female) = P(Male)+P(Female).


These are found with combinations, because order doesn't matter. If the team has Jerry as the first member, or Jerry as the last member, the team still has Jerry.


9C6/16C6 + 7C6/16C6.

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