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Mathematics 8 Online
OpenStudy (x__hazel__x):

A coin is tossed 50 times and lands with heads facing up 48% of the time. Which is most likely to happen in 1000 tosses of the coin? A. The percent of heads facing up will be exactly 48%. B. The percent of heads facing up will be exactly 50%. C. The percent of heads facing up will approach 48%. D. The percent of heads facing up will approach 50%. D?

OpenStudy (x__hazel__x):

@welshfella

OpenStudy (welshfella):

first work out 48% of 50 to get the number of heads in 50 tosses. Then its a proportion expected nuber of heads = number of heads * 1000 / 50

OpenStudy (x__hazel__x):

Okay, so that would be... Sorry, Im bad at this =.=

OpenStudy (welshfella):

48% of 50 = 0.48*50

OpenStudy (x__hazel__x):

0.48*50 = 24

OpenStudy (welshfella):

right now multiply this by 1000 then divide by 50 to get expected number of heads in 1000 tosses.

OpenStudy (x__hazel__x):

Okay, so 0.075?

OpenStudy (x__hazel__x):

OHH NO I MEAN ..

OpenStudy (welshfella):

No OH i hadn't read the choices.

OpenStudy (x__hazel__x):

I got 480 :3

OpenStudy (x__hazel__x):

XD

OpenStudy (welshfella):

it is 180. But that s only an estimate . the correct choice is C - approaching 48%

OpenStudy (x__hazel__x):

Okay! Thank you!

OpenStudy (welshfella):

* 480 war right NOT 180!!!

Directrix (directrix):

Relying on the Law of Large Numbers, I would go with this: D. The percent of heads facing up will approach 50%. @x__hazel__x

Directrix (directrix):

What is the 'Law Of Large Numbers' A principle of probability and statistics which states that as a sample size grows, its mean will get closer and closer to the average of the whole population. http://www.investopedia.com/terms/l/lawoflargenumbers.asp

OpenStudy (x__hazel__x):

Okay! Thank you sooooo much!!!! I already submitted it, and I didnt pass, but thats fine!

Directrix (directrix):

Sorry to hear that. There's always the next time!

OpenStudy (x__hazel__x):

Yes! Thank you!

Directrix (directrix):

What is the answer to this question? I have seen it posted here several times.

OpenStudy (x__hazel__x):

Yes, here is the answer to the question! you were right! :3

Directrix (directrix):

Thanks for that. It might not help you at this point but I will remember so that others can be helped.

OpenStudy (x__hazel__x):

Okay! Again, thanks!

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