Question

The data to the right comes from the last baseball season.

Answer 1

Wow. I certainly hope you're not in any kind of hurry :D
I've figured it out, it's almost exactly like our previous problem, just, more work.

Think of it as more exciting lol.

You up for it?

Answer 2

yes of course

Answer 3

The only difference between this and our last problem (in essence) is that we don't have the venn diagram yet; we'll make it ourselves.

Now, we could proceed without the Venn diagram, but I feel that would make life a lot easier.

Ready to get drawing? XD

Answer 4

yes lol xD

Answer 5

Let's do this

Answer 6

Could you, uhh, choose two letters, not A or B, because they're taken

Answer 7

idk lol any letter would be good :)

Answer 8

Hehe
Miss Danielle (that's your name, right?)
is getting ahead of herself again.

Take a deep breath...

Answer 9

lol its a habit of mine in math xD and yes my name is Danielle

Answer 10

Pleasure. Despite my name and profile, my name is Kurt.
Now, I like your initiative, but let me first point out WHY your idea is incorrect:

Answer 11

I take it you meant this circle to represent those that made at least 20 home runs, yes?

Answer 12

yes

Answer 13

Unfortunately, if you really think about it, NOW, you've just made that equal to 35% instead of 28 as is written in your given :P
Remember?
To get P(B), you add ALL of the numbers in the circle.
You have a 28 AND a 7
Not quite right, don't you think? ^^

Answer 14

oh so I have to subtract 7

Answer 15

I may not agree with your initiative all the time, but we can't deny that your instinct serves you well ^^
You're spot on :D

The people who hit at least 20 home runs should be exactly 28%, and since you already have 7% accounted for, how much more are lacking?

Answer 16

21 and finally it pays off to get ahead of myself lol

Answer 17

Don't make it a habit, though :P
Can't hurt to think carefully before you act :D

Dammit, I'm having a hard time, so I'll assign letters myself
X is the percent of those that have an average of at least 300
Y is the percent of those that have hit at least 20 home runs.

So that we now have:



Can you fill in the rest of the X-circle?

Answer 18

Good.
Now to the tricky part :D

Answer 19

We're considering two, uhh, situations.
A: A player with an average of at least 300, will also hit at least 20 home runs

So, it means, a player is already in X, we're checking the chances that the player is also in Y.

That's the probability of Y, GIVEN that X is already true.

Or
P(Y|X)

Look familiar?

Answer 20

7/21

Answer 21

1/3=0.33

Answer 22

No, lol, where the heck did you get 21? haha

Answer 23

omg sorry I got confused with the y instead of x hold on I got this

Answer 24

ok it would be 7+13=20 to get the whole x value then 7/20 to get x/y right?

Answer 25

X|Y
It's a vertical bar, not a slanted one >:(

LOL
And yes, 7/20.
Please express that in a percent ^^

Answer 26

35

Answer 27

and sorry lol I was just a bit too lazy

Answer 28

35%
Good ^^
Now, look at scenario B.

It's just the reverse.
B: A player with at least 20 home runs, will also have an average of at least 300.

You got this?

Answer 29

yes 7/28=25%

Answer 30

Brilliant.
So.
P(A) = P(Y|X) = 35%
P(B) = P(X|Y) = 25%

Think you can answer this now? :P

Answer 31

A is more likely than B?

Answer 32

Well done ^^

Answer 33

yay thank you! :D

Answer 34

thank yourself HAHA