Adam has 4 dimes, 4 quarters and 4 nickels in his pocket. He pulls out 2 coins making sure to put the first one back in his pocket before picking the second. What are the odds that he pulls out 2 nickels?
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OpenStudy (anonymous):
Remember what we did for the last problem
OpenStudy (anonymous):
yess can u help me please?
OpenStudy (anonymous):
Ofcourse
OpenStudy (anonymous):
Here is a formula for you: Odds = (Dimes + Nickels + Quaters) Divided By: Number of coins pulled out.
OpenStudy (anonymous):
so itll be 4+4+4+2+2=16/by 5=4?
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OpenStudy (anonymous):
Sorry the divide part is actually before (Dimes....)
OpenStudy (anonymous):
haha
OpenStudy (anonymous):
No add the totoal amount of coins, What is that equal to?
OpenStudy (anonymous):
*total
OpenStudy (anonymous):
16
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OpenStudy (anonymous):
Correct
OpenStudy (anonymous):
:)
OpenStudy (anonymous):
Now odds is always like this X out of Y == X/y which means if there is a 1 out of 3 then its 1/3. Try to use this logic to help you get your answer
OpenStudy (anonymous):
ok so itll be 1/3?
OpenStudy (anonymous):
Not for this problem. remember that was an example.
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OpenStudy (anonymous):
oh cause they have that answer? i was just wondering!
OpenStudy (anonymous):
oh lol no. Plug in the numbers from your problem with my example. Number out of Number = Number/Out of Total Amount.
OpenStudy (anonymous):
i got 1/9
OpenStudy (anonymous):
Ok lets try it like this . How many coins pulled out at a time?
OpenStudy (anonymous):
he pulled out 2
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OpenStudy (anonymous):
ok so we have number pulled out equals 2. Now we need the total amount of coins that are inside his pocket. What is that?
OpenStudy (anonymous):
he has 16
OpenStudy (anonymous):
ok so your anwer will be Number pulled out / Total Inside pocket. So what is your answer?
OpenStudy (anonymous):
1/16?
OpenStudy (anonymous):
How many does he pull out at a time?
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OpenStudy (anonymous):
2
OpenStudy (anonymous):
Ok so its not 1/16 but ?/16
OpenStudy (anonymous):
What is missing?
OpenStudy (anonymous):
thats the only answer with a 16 in itt
OpenStudy (anonymous):
Right but answer mine we are getting there
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OpenStudy (anonymous):
2/16
OpenStudy (anonymous):
Correct. But they said that he puts one back after he pulls 2. So that means 2-1/16 which is 1/16. Understand?
OpenStudy (anonymous):
kinda
OpenStudy (anonymous):
He pulls out 2 then puts one back so it is 1/16 instead of 2/16.
OpenStudy (anonymous):
ohh!
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OpenStudy (anonymous):
Now you get it?
OpenStudy (anonymous):
yess! so is that the answer?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
actually wait no
OpenStudy (anonymous):
huh?
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OpenStudy (anonymous):
Sorry the total number of coins is 12 not 16. I added an extra 4. So sorry. Its 1/12 or 2/12. Do you have any of those answers?
OpenStudy (anonymous):
no but i have 1/16
OpenStudy (anonymous):
do you have 1/6?
OpenStudy (anonymous):
no i have 1/3,1/16,1/9,1/81
OpenStudy (anonymous):
1/3 is your answer
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OpenStudy (anonymous):
1/3, then 2/6, then 4/12
OpenStudy (anonymous):
4 out of 12 chance and if you simplify its 1/3 or 4 Divided by 4 / 12 divided by 4. Get it