The names of 9 boys and 2 girls are in a hat. What is the probability of first drawing a girl’s name and then a boy’s name from the hat?

Question

blurryface · Answer

hello @Kinged

kinged · Answer

What's the probability of fist drawing a girl's name?

blurryface · Answer

idk

kinged · Answer

It's just the number of girls divided by the total number of names in the hat.

blurryface · Answer

that is not correct

kinged · Answer

That's just the first step of the answer.

blurryface · Answer

that would be 5.5 or 11/2 and that is not correct

blurryface · Answer

oh silly me

kinged · Answer

First of all,
You mean 2/11 not 11/2.

kinged · Answer

Now, you have to get the probability of picking a boy's name thereafter.

blurryface · Answer

2/11 girls and 9/11 boys

blurryface · Answer

what next?

kinged · Answer

No. For the boys, the total has changed.
By how much?

blurryface · Answer

7/11?

kinged · Answer

They are still 9 boys, only we have removed a person from the total. After we calculated the probability of pick a girl's name.

blurryface · Answer

What is the equation we will use?

kinged · Answer

P(girl then boy)=P(girl)*P(boy)

blurryface · Answer

I don't understand

sshayer · Answer

when you draw name of one girl ,you are left with 10 names

sshayer · Answer

9 boys name and one girl name.

blurryface · Answer

now what?

kinged · Answer

The probability of picking a boy's name is the total number of boys divided by the total number of name minus one.

kinged · Answer

When you do this, return to the equation I stated previously.

blurryface · Answer

Could you do it for me?

kinged · Answer

Nope. Sorry, though.

blurryface · Answer

do you not know how to do it?

kinged · Answer

I know how to do it, just not for you.

kinged · Answer

I outlined the steps as clear as I could. Just revise them.

blurryface · Answer

boys = 8/11? girls 2/11? what next

kinged · Answer

I'm sorry, but that's the code of ethics of this website. You have to understand.

blurryface · Answer

I learn by example...

kinged · Answer

The boys are still nine. The total is what's changed.

kinged · Answer

Since you just picked a person before.

blurryface · Answer

the answer is 9/55... I understand it now

blurryface · Answer

is that correct?

sshayer · Answer

$$\frac{ 2 }{ 11 }\times \frac{ 9 }{ 10 }=?$$

kinged · Answer

YEPPP.

blurryface · Answer

I got 1 more question