Question

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

Answer 1

I'm not good with probability. :o

Answer 2

Ok, so we are looking for the probability of either getting just 2 boys, or just 2 girls.

Answer 3

for c, that's (2/8)*(1/7)*(1)*(1)*(4C2)

Answer 4

No, we can reduce the problem into finding the probability of EXACTLY 2 boys or EXACTLY 2 girls given 4 people. that makes it easier.

Answer 5

For b, (2/7)(1/6)*(1)*(1)*(4C2)

Answer 6

where are you getting these numbers?

Answer 7

for a, (3/6)(2/5)(3/4)(2/4)*(4C2)

Answer 8

well, essentially, for C, we calculate the probability of getting 2 girls then 2 boys, and then multiply it be 4C2 because order doesn't matter.

Answer 9

Same for B and A.

Answer 10

It's hard to explain, but even though the number decreases by one time, no matter what order you select the boys and girls from, you would still get the same probability. Thus we simply multiply that probability by the number of combinations that are possible.

Answer 11

a. 3/10 = .3

Answer 12

Alright, who is right? -_-

Answer 13

I thought you are the one just learned this technique from "Miama.."

Answer 14

I'm correct, because, LOL.

Answer 15

But ink man got a different answers than her.

Answer 16

Besides, Chloroplast didn't show his work. I always hated biology.

Answer 17

/her, if you're a girl

Answer 18

miama got 9/15 for the answer.

Answer 19

I believe you should trust her knowlege :)

Answer 20

So, that's settle down which method, right!

Answer 21

well, is this a test, or homework?

Answer 22

and 9/15 for which question?

Answer 23

she got 9/15 for a and this is a homework.

Answer 24

shall I write a python program and determine the answer for sure?

Answer 25

Can you bump this? I think other's could help more than me

Answer 26

and, I think Miama is right, but I will write a computer program to make sure.

Answer 27

Her user name is "myininaya"!

Answer 28

@inkyvoyd, I don't think that you're bad at bio :P
Otherwise, how come you know where cholorphyll come from :)

Answer 29

@Perl this type of question pretty much like your!

Answer 30

I'm prtty bad at biology. It's my lowest grade out of everyhing else.

Answer 31

Actually, I forgot how to write programs in python, lemme search if I sitll have my old programs.

Answer 32

I don't have my calculator here, but according to Myininaya:
a) 3C2 * 3C2 / 6C4
b) 5C2 * 2C2/ 7C4
c) 2C2 * 6C2/ 8C4

Answer 33

Well, She's most likely correct.

Answer 34

a) 3 * 3 / 3 * 5 = 3/5

Answer 35

Just plug them in the calculator to double check your manual work!