anonymous
  • anonymous
Find the probability that a 4-person team consists of 2 girls and 2 boys if the team is chosen at random from: a.3 girls; 3 boys b. 5 girls; 2 boys c. 2 girls; 6 boys d. 3 girls; 1 boy
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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myininaya
  • myininaya
Did you try making a tree for each?
myininaya
  • myininaya
The last one is impossible do you know why?
myininaya
  • myininaya
You only have 1 boy to choose from and you are suppose to get two boys out of that

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More answers

anonymous
  • anonymous
I know the last one, but is there an algebraic way to do this?
myininaya
  • myininaya
i will show you how to do the first one i'm gonna make a tree
anonymous
  • anonymous
I know how to make a tree diagram but is the algebraic way to do it: (for example A) 3C2x3C2?
myininaya
  • myininaya
lol ok i don't like the tree way i was going to show you how to compare but nevermind... so the algebra way... And don't forget we are looking for probability k? one sec....brb
myininaya
  • myininaya
and yes we will need to use 3C2 * 3C2 since we have 3 boys and we are choosing 2 of them and since we have 3 girls and we are choosing 2 of them
myininaya
  • myininaya
But this only gives us the number of ways 2 boys and 2 girls can be chosen from 3 boys and 3 girls
myininaya
  • myininaya
now we have 3 boys and 3 girls right? That means we have 6 people to choose from?
myininaya
  • myininaya
But we are only selecting 4 right?
myininaya
  • myininaya
|dw:1333404048343:dw|
myininaya
  • myininaya
what do you think?
anonymous
  • anonymous
I get it.
anonymous
  • anonymous
first one is \[\frac{3\times 3}{15}=\frac{9}{15}=\frac{3}{5}\]
anonymous
  • anonymous
why is the denominator 15? I thought it was 35 because 7C4=35
anonymous
  • anonymous
no that was a mistake
anonymous
  • anonymous
so 35 is right?
anonymous
  • anonymous
The second one is 1/7
anonymous
  • anonymous
not 2/7?
anonymous
  • anonymous
5 girls; 2 boys \[\frac{\dbinom{5}{2}}{\dbinom{7}{4}}\]
anonymous
  • anonymous
c is 3/14, I think
anonymous
  • anonymous
The second one is 10/ 35 = 2/7!
anonymous
  • anonymous
\[\frac{10}{35}=\frac{2}{7}\]
anonymous
  • anonymous
2 girls; 6 boys \[\frac{\dbinom{6}{2}}{\dbinom{8}{4}}\] \[\frac{15}{70}=\frac{3}{14}\]
anonymous
  • anonymous
The third one is 3/14 ( My manual calculate takes forever !!!, triple check :P)
anonymous
  • anonymous
yay. now help me with my new problem >:D

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