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student
2. Your team is in charge of games at the CMP amusement park. One of the games involves a robotic arm that randomly grabs a stuffed animal. You need to set up the game so that the probability of a customer grabbing a teddy bear is exactly 1/2 how would you set up the bin?
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volunteer
Is it fine if we get to the second one later?
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student
Yeah sorry
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student
We have 12 marbles in total
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volunteer
Yes!
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volunteer
and how many blue?
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student
4 marbles
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volunteer
yes. could we develop a fraction of blue / total
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student
Sure
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volunteer
What would that be?
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student
4/12?
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volunteer
And can we simplify that?
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student
Uh I think so
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volunteer
Yes!
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volunteer
if we divide 12 by 4 what would we get
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student
3?
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volunteer
yes
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volunteer
so the fraction would then be 1/3
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volunteer
Now if we were to make that fraction 1/10 would we be adding to the numerator or denominator
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student
Numerator
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volunteer
Well, not really, since we would be making the number smaller
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volunteer
for example, what is smaller-1/5 or 1/10
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student
Uh the -1/5?
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volunteer
So sorry, i meant 1/5 or 1/10
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student
Oh
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student
It’s okay
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volunteer
So now what would be smaller
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student
1/10?
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volunteer
Yes
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volunteer
So, using that same logic, to make 1/3 to 1/10 what would happen?
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volunteer
Would the number get bigger or smaller
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volunteer
?
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student
Bigger
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volunteer
Almost!
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volunteer
since you are getting a bigger value of the denominator, the fraction would be getting smaller
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volunteer
remember how 1/10 is smallr than 1/5
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student
YEAH
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volunteer
So then 1/3 would get smaller to get to 1/10. Do you get it now?
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volunteer
?
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student
No :<
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volunteer
Ok, if you had a pizza, what would be a smaller slice
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volunteer
1 slice out of 8 or 4 slices
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student
1/8
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volunteer
Yes!
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volunteer
This shows how 1/8 is smaller than 4/8
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volunteer
Now do you understand?
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student
Yes
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volunteer
Okay, with this being said, to make 1/3 to 1/10 are you getting bigger or smaller
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student
Smaller
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volunteer
Yes!!!
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volunteer
So if 4/12 is 1/3, 4/? is 1/10
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volunteer
That is basically what we are figuring out
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volunteer
To start, how many times do you have to multiply 4 to get 12
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student
3?
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volunteer
yes
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volunteer
So how many times do you have to multiple 4 to get 1/10
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volunteer
since you did 4 times the denominator (3)
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volunteer
to get 1/10 you will do 4 times the denominator (?)
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volunteer
?
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volunteer
?
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volunteer
Do you understand how to do this?
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student
No :(
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volunteer
Ok-So since the denominator was 3 for 1/3, if we multiplied 4 times 3 we got 4/12 (which is the ratio of blue to total)
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volunteer
Using this same principle, if we multiply 4 times 10 we will get?
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student
40!!!!
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volunteer
YES!
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volunteer
But thats not it
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volunteer
Since the question is saying how many marbles to add, we would do 40-?
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volunteer
what would we subtract from 40
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student
12?
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volunteer
YES!!!!!!!!!!!!!!!!!!
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volunteer
So what is 40-12
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student
HOLD ON LET ME DO THE MATH FOR IT
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volunteer
lol go ahead lol
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student
32?
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volunteer
Almost!
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volunteer
here lets break it down a bit
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volunteer
what is 40-10
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student
30
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volunteer
THEN do minus 2 more
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student
28
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volunteer
YAYAYYAYY!!!
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volunteer
Thats the answer!
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volunteer
Now we can get started on our second problem: 2. Your team is in charge of games at the CMP amusement park. One of the games involves a robotic arm that randomly grabs a stuffed animal. You need to set up the game so that the probability of a customer grabbing a teddy bear is exactly 1/2 how would you set up the bin?
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volunteer
So what do we know straight from the beginning
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volunteer
(What is the probability we need?
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student
1/2?
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volunteer
YES!
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volunteer
This would mean that every two times someone used the stick, how many stuffed animals would we get
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student
1?
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volunteer
Yes
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volunteer
So to make a machine you would need to ensure there is half teddy bears right
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student
Okay
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volunteer
So if there were 50 other stuff we would need how many teddy bears
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student
20?
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volunteer
No, in this case it would be 50 since it is the otehr half
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student
OH
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volunteer
So in conclusion, we would need to make the machine have as many teddy bears as other prizes.
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student
OKAY
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volunteer
Anything else you need help with today?
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