The table shows the results of drawing colored marbles from a bag.
Based on theoretical probability, which is the best prediction for the number of times a red marble would be drawn in 1000 trials?
A.
100
B.
125
C.
167
D.
200
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OpenStudy (anonymous):
here is the chart
OpenStudy (anonymous):
need help
OpenStudy (anonymous):
hi
OpenStudy (anonymous):
cool pic
OpenStudy (anonymous):
cool pic @redbullx and @noseboy908
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OpenStudy (noseboy908):
I'll help, I'm just looking at the chart now.
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
so can u figure it out
OpenStudy (noseboy908):
Ok, firstly, add up the total number of marbles present in your test. Do this by adding up the FIRST column. Tell me what you get.
OpenStudy (anonymous):
40
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OpenStudy (anonymous):
right
OpenStudy (noseboy908):
No, try again.
OpenStudy (anonymous):
do i add the actucul # of marbels and # of marbels drawn
OpenStudy (noseboy908):
No, ONLY the FIRST column.
OpenStudy (anonymous):
ok so add 5+10=15 right
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OpenStudy (noseboy908):
yes, as well as ALL the numbers in that column alone.
OpenStudy (anonymous):
ok
OpenStudy (noseboy908):
And what is the total?
OpenStudy (anonymous):
wait
OpenStudy (anonymous):
1000 times the fraction of red marbles
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OpenStudy (anonymous):
i got 100 @noseboy908
OpenStudy (anonymous):
the fraction of red marbles is 5/40 = 1/8
OpenStudy (noseboy908):
Add up the numbers from the FIRST column.
OpenStudy (anonymous):
it is 15
OpenStudy (noseboy908):
You see the column labeled "actual number of marbles"? Add up all the numbers below it.
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OpenStudy (anonymous):
what is the relative frequency of the red marbles? did you learn that term?
OpenStudy (anonymous):
and how to compute it?
OpenStudy (anonymous):
i got 40 @noseboy908
OpenStudy (anonymous):
so there are a total of 40 marbles. how many of them are red?
OpenStudy (noseboy908):
Yep, @pgpilot326 is correct.
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OpenStudy (anonymous):
15 @pgpilot326
OpenStudy (anonymous):
15? where did you get that?
OpenStudy (noseboy908):
According to the "actual number of marbles" column, what is the number next to "Red"?
OpenStudy (anonymous):
i mean 10 or 5
OpenStudy (anonymous):
number of actual is 5 and number of pulled out is 10
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OpenStudy (anonymous):
@Spunkeymonkey822 just ignore the last column. it has nothing to do with the theoretical values.
OpenStudy (anonymous):
ok i just need answer plz
OpenStudy (anonymous):
my test is almost done
OpenStudy (anonymous):
i provided you with all the info to compute. look at my first and second posts and put it together. make sense of it.
OpenStudy (anonymous):
but what u mean is that i add red in both colums
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OpenStudy (anonymous):
no, ignore the last column. of the 40 marbles in the bag, 5 of them are red.
thus the fraction of red marbles is \(\frac{5}{40}=\frac{1}{8}\)