HELP! There are 6 girls and 5 boys in a science class. The teacher chooses two students to lead a class discussion. What is the probability of selecting a girl, then a boy?

Question

anonymous · Answer

Possible answers
3/110
3/11
36/121
6/11

anonymous · Answer

Girls, 1:6, Boy, 1:5, Might be Wrong Or Right.

anonymous · Answer

Oh wait, girl 6:11, and boy, 3:11

anonymous · Answer

lol.. might be wrong or right...:)

kinggeorge · Answer

Since it's asking for the probability of a girl, and THEN boy, that actually makes this easier. We have to find the probability that a girl was chosen first, and then the probability that a boy was chosen after that. 

The probability of a girl being chosen first, is just $$\frac{6}{11}$$since there are 6 girls, out of 11 people. 

The probability of choosing a boy after this, is $$\frac{5}{10}=\frac{1}{2}$$because there are 5 boys left, but only 10 students to choose from now since we've already removed one girl.

That means the probability you're looking for is just $$\frac{6}{11}\cdot\frac{1}{2}=\frac{6}{22}=\frac{3}{11}$$

anonymous · Answer

Wait, I'm right??!?! YES I AM EXTREMELY SMART!
*5 years later, president of the usa*

anonymous · Answer

yay!!! i'll vote for you...:)

anonymous · Answer

yay

kinggeorge · Answer

I wish there was a facepalm emoticon I could easily draw :P

anonymous · Answer

i know.

anonymous · Answer

lol! thanks to all!!! you all are genius! :P

anonymous · Answer

LIKE A BOSS :P