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Anonymous No. 16196870

Should high schoolers be required to pass a basic probability theory course?

Anonymous No. 16196882

sure, but a certain population won't be able to do it at all cause they don't understand hypothetical and uncertainty. it's not possible to teach probablity theory to them.

Anonymous No. 16196901

>>16196870
Uhh, if high schoolers are required to learn calculus sure.

I don't think you can really meaningfully teach probability without at least understanding the basics of an integral and change of variables. Without integration you don't have expectations and without expectations you can't get conditional expectations (and out goes the whole of statistics with it).

Anonymous No. 16196916

>>16196870
12,5% for 3x
There is 1/2 chance that there was 3 tails in a row during your throwing so the amount of heads is about 3/6 = 50%

Anonymous No. 16196924

>>16196916
Actually kinda interesting sentence
"There's 50% chance that heads will be tails."
implying it's already on the table

Anonynous No. 16196931

>>16196870
I'm convinced posts like this are just OP's middle school homework.

Anonymous No. 16196945

>>16196870
lol hell no
Should they offer a statistics class? Many do it for AP stats, so yes, def offer. But don't force

Anonymous No. 16196947

>>16196870

In the US, basic probability theory is integrated into the curriculum in geometry.

Geometry is often overlooked when it comes to giving high-schoolers in the US an introduction to more abstract math concepts (introducing the idea of proofs, probability theory, etc)

Anonymous No. 16196995

>>16196947
>basic probability theory is integrated into the curriculum in geometry
what the fuck is this? no wonder americans are retards and the whole IMO team are all chinese.

Anonymous No. 16196997

there should be a small amount of probability, statistics, and how the scientific method works

but then it would be harder for misinformation to work its wonderful way around

Anonymous No. 16197000

>>16196931
>I'm convinced posts like this are just OP's middle school homework.
I'm thinking you're right.

Anonymous No. 16197013

>>16196870
every high school teacher should be able to at least pass every course in the school
>even home ec?
especially home ec. basic probability too, though OPs topic is renewal relations which I have never heard of being taught in a high school (though you probably could)

Anonymous No. 16197095

>>16197013
band director and history teacher has to pass ap chem? mechanics?

Anonymous No. 16197138

>>16196870
>another "unclear word problem" meme so that autists across the internet argue about it

>>16196916
It depends on the interpretation of the question. If we are including the final 3 heads as part of the "how many heads" percentage - it could be said the question has an "built-in guarantee" that there WILL be 3 heads in a row at the end of the series before you do your calculation. In other words, the "trigger condition" for the calculation does not occur until there IS 3 heads in a row. If we use geometric distribution to determine the "average minimum number of flips" required before we see 3 heads in a row, we would need 8 flips (not including the 3 heads):

[ 8 flips at 50% H or T ] [ 3 flips at 100% Heads ] = 63.64% coin flips that show heads with a total of 11 flips.

The value approaches 50% the more flips you do. Basically, you are correct in that 3 tails could appear before the 3 heads at the end of the series - and the more flips that are done, the more chance of that happening and getting closer to 50% and "averaging out".

If you don't assume 3 heads is "built-in" the question, then 50% is the correct answer.

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๐Ÿ—‘๏ธ Anonymous No. 16197170

50%

https://godbolt.org/z/T7h7vG3jK

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Anonymous No. 16197196

Expected X: 60.2247%

https://godbolt.org/z/zYcqb7T8f

Anonymous No. 16197215

>>16196870
the top 1% of students should be identified early and put on a pathway to learn mathematics, physics, engineering etc at an accelerated pace

everybody else should just be taught trades, the arts or sports

Anonymous No. 16197219

>>16197138
the problem is not unclear, the three flips at the end are included