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  1. How to resolve the ambiguity in the Boy or Girl paradox?

    Jul 4, 2023 · 1st 2nd boy girl boy seen boy boy boy seen girl boy The net effect is that even if I don't know which one is definitely a boy, the other child can only be a girl or a boy and that is always and …

  2. Expected number of ratio of girls vs boys birth - Cross Validated

    Apr 15, 2014 · Expected girls from one couple$ {}=0.5\cdot1 + 0.25\cdot1 =0.75$ Expected boys from one couple$ {}=0.25\cdot1 + 0.25\cdot2 =0.75$ 1 As I said this works for any reasonable rule that …

  3. self study - Probability of having 2 girls and probability of having at ...

    Aug 18, 2017 · Probability of having 2 girls and probability of having at least one girl Ask Question Asked 8 years, 5 months ago Modified 8 years, 5 months ago

  4. probability - What is the expected number of children until having the ...

    Aug 5, 2023 · A couple decides to keep having children until they have the same number of boys and girls, and then stop. Assume they never have twins, that the "trials" are independent with probability …

  5. Hypothesis testing: Fisher's exact test and Binomial test

    Feb 9, 2022 · Considering the population of girls with tastes disorders, I do a binomial test with number of success k = 7, number of trials n = 8, and probability of success p = 0.5, to test my null hypothesis …

  6. Sample notation: When to use capital $N$ vs lowercase $n$?

    Jan 10, 2024 · Use standard type for Greek letters, subscripts and superscripts that function as identifiers (i.e., are not variables, as in the subscript “girls” in the example that follows), and …

  7. Understanding intuition of the Two child problem

    Inspired by this twitter thread, posting this question: I have two children, (at least) one of whom is a boy born on a Tuesday what is the probability that both children are boys? Via Joel Grus, ...

  8. What is the intuition behind the law of total probability applied to ...

    Apr 21, 2025 · The second law of total probability says: "This calculation is the same when applied just to the girls --- i.e., the probability that the selected girl plays a sport is the sum of the probabilities that …

  9. Significance test for difference in two proportions over time with ...

    Oct 8, 2019 · I'm comparing the same proportion across samples of two different populations taken over time. So, for example, the proportion of 3rd graders with blonde hair, comparing boys and girls, if …

  10. what is the difference between a two-sample t-test and a paired t-test

    May 16, 2021 · When you use a paired T-test, you are essentially doing a one-sample test, where your one sample consists of the paired differences between outcomes in two groups. If you create a new …