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
d. 3 girls; 1 boy

Answer 1

Did you try making a tree for each?

Answer 2

The last one is impossible
do you know why?

Answer 3

You only have 1 boy to choose from and you are suppose to get two boys out of that

Answer 4

I know the last one, but is there an algebraic way to do this?

Answer 5

i will show you how to do the first one
i'm gonna make a tree

Answer 6

I know how to make a tree diagram but is the algebraic way to do it: (for example A) 3C2x3C2?

Answer 7

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

Answer 8

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

Answer 9

But this only gives us the number of ways 2 boys and 2 girls can be chosen from 3 boys and 3 girls

Answer 10

now we have 3 boys and 3 girls right?
That means we have 6 people to choose from?

Answer 11

But we are only selecting 4 right?