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Secret Paths in Pascal's Triangle 

ALEX on Science
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If you calculate the probability of getting a random test score, the result is exactly equal to the numbers in Pascal's triangle! Why is that? Paths!
Thanks to Rebecca Wu and Catherine Hu for helping with the script.
Music: When You're Not Looking by Nathan Moore
#some3

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16 сен 2024

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Комментарии : 5   
@jamalsankey6402
@jamalsankey6402 25 дней назад
This is very interesting, I want to see how the math changes if the quiz was ABC so you had one of three options to choose from on each question
@jamalsankey6402
@jamalsankey6402 25 дней назад
Also my uncle showed me a similar type of logic puzzle where you have to guess the next line in the pattern 1 11 21 1211 111221 312211 13112221 1113213211
@alexonscience
@alexonscience 24 дня назад
If each possibility is no longer the same probability you can no longer divide the numbers, you need to now do a weighted average. Though you could divide each question into three equal possibilities, like answer is correct, answer is left of correct, answer is two left of correct (wrapped around). So you can imagine the denominator is now 3^n instead of 2^n
@Joe-sd3du
@Joe-sd3du 25 дней назад
Ur so underrated whaaaat😢😮
@deepfritz225
@deepfritz225 7 месяцев назад
Alright, let's explore the choice of dating someone of the opposite sex, but this time with a critical perspective. Buckle up, because we're about to delve into the complexities and potential drawbacks of heterosexual relationships. First off, dating someone of the opposite sex can sometimes be like conforming to societal norms rather than following your heart's true desires. It's like opting for the conventional path without questioning whether it's genuinely the right fit for you. It's important to remember that love should never be dictated solely by external expectations. And don't even get me started on the potential consequences! While opposite-sex relationships are the societal default, it's crucial to recognize that they too can come with their own set of challenges. It's like choosing a well-trodden road without considering the potential twists and turns it might take. It's essential to ensure that the connection is based on genuine compatibility rather than just conforming to expectations. Now, the emotional aftermath of dating someone of the opposite sex? Oh boy, that can be like settling for a predetermined path instead of exploring your authentic self. It's like fitting into a mold that might not truly align with your identity, values, or desires. It's essential to evaluate whether you're entering the relationship for the right reasons and not just because it's the default choice. In conclusion, while dating someone of the opposite sex is a common choice, it's crucial to approach it with critical thinking and self-reflection. Love should always be based on genuine connection and compatibility, not just societal expectations. So, before you dive into a heterosexual relationship, take a moment to examine your motivations and ensure it's the right fit for you. Thanks for tuning in, and as always, prioritize authenticity in matters of the heart!
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