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Mathematics 8 Online
OpenStudy (jenessa_2413):

A student pulls out a marble from a bag containing blue, green, and red marbles. He records the color and places it back into the bag. The table below shows the frequency of each color after 100 marbles are pulled out: Color of Marbles Blue Green Red Number of Draws 13 29 58 How many green draws can you expect if the marbles are pulled out 1,000 times? 130 290 580 600

OpenStudy (jenessa_2413):

@AloneS

OpenStudy (jenessa_2413):

@karim728

OpenStudy (joannablackwelder):

Hm, how many red marbles?

OpenStudy (jenessa_2413):

58

OpenStudy (joannablackwelder):

Oh, I see. Thanks. How many total marbles are in the bag?

OpenStudy (jenessa_2413):

100

OpenStudy (joannablackwelder):

Good. :-) So, what is the probability that he will pull out a green marble?

OpenStudy (jenessa_2413):

29/100=3.44

OpenStudy (jenessa_2413):

i think...idk

OpenStudy (joannablackwelder):

Hm, I agree with 29/100, but how did you get 3.44?

OpenStudy (jenessa_2413):

i did 100/29 but 29/100 is 0.29

OpenStudy (jenessa_2413):

?

OpenStudy (joannablackwelder):

Ah, right! 0.29 is the probability that we will get green. So, what do you think that tells us about the number of green marbles we will likely pull in 1000 draws?

OpenStudy (jenessa_2413):

om... sorry idk

OpenStudy (joannablackwelder):

It's cool. Multiply the probability by the number of draws.

OpenStudy (jenessa_2413):

0.29 x 1000=290

OpenStudy (joannablackwelder):

Yep! :-) If you pull out 100 marbles, you would expect to get 29 green.

OpenStudy (jenessa_2413):

YAYY thanks sooo much

OpenStudy (joannablackwelder):

So if you pull out 1000, you would expect to get 10x.

OpenStudy (joannablackwelder):

You're welcome. :-)

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