G Labs

@BoganFella @Math_files There is the assumption that each day of the week is equally likely to be a birthday, and the assumption that for any given birth the probability of a boy or girl is 50-50.

@GLabsPlus @Math_files You are assuming two things: there are equally numbers of boys and girls born in every day of the week and the sample population is finite.

@MrBleeple_PhD @Math_files It's two different sequences, and hence two different possible timelines out of 27 possible timelines.

@GLabsPlus @Math_files Im not understanding the difference between “Tuesday boy followed by X gender on non-Tuesday” and “X gender on non-Tuesday followed by Tuesday boy”. Aren’t those the same scenario? Why does it matter if the Monday girl is born before Tuesday or after Tuesday?

@FishyComments @Math_files The chart considers all possible sequences of sex and day of the week, not all possible families. It also assumes that a birth on each day of the week is equally likely, and that a child being a boy or girl is also equally likely.

@GLabsPlus @Math_files The problem with your chart is that it assumes there are only one of each value, when there are 10s-100s of millions of mothers of 2 for each spot. You only have info on 1 of them. The odds are virtually 50/50

@tvladts @Object_Zero_ @Math_files Two Tueaday boys is only one possoble timeline. Its reverse is also the sequence of a Tueaday boy followed by a Tuesday boy. Same sequence. It's like flipping a coin twice. The case of two heads is one (not two) of the four possible outcomes.

@GLabsPlus @Object_Zero_ @Math_files There are not 1 but 2 possibilities of 2 tuesday boys.

@BubblegumDrgn @Math_files Two Tuesday boys is one of the 27 cases. It counts as one case (not two) because it is only one possible timeline. Similarly, when flipping a coin twice, two heads is only one (not two) of the four possible outcomes: Head Head Head Tail Tail Head Tail Tail

@GLabsPlus @Math_files "One" does not equal "At least one". If you ask me for a gender/day of one of my two children at random, and I have two Tuesday boys, I am twice as likely to say Tuesday Boy. You must count 2xTB twice. There are 28 cases. But you knew that. Enjoy the engagement.

@fern_rl @Math_files Two Tuesday boys is only one possible future outcome for a family that would have two kids: A Tuesday boy followed by a Tuesday boy. The reverse is the same sequence. Similarly, two heads is only 1 (not 2) of 4 possible outcomes, when flipping 2 coins.

@GLabsPlus @Math_files Mathematician here. No. There's not 27 cases. There's two. 50/50 And even if the weekday was relevant, it would be 28 cases. Tuesday boy followed by another Tuesday boy is not the same if you reverse it. Order matters. So that's actually 7+7+6+6+2, or simply 7×4=28

@Object_Zero_ @Math_files Two Tuesday boys is one of the 27 possibilities.

@GLabsPlus @Math_files Except the other child could also be a boy born on Tuesday.

@Unmanahi4 @Math_files The diagonal numbers are still one possibility, since only one possible timeline leads to it. For example, the first child being a Tuesday boy, followed by the 2nd child being a Tuesday boy, is only one possible potential future, not two.

@GLabsPlus @Math_files No way. So if the problem said that it was born between midnight and midday (first half of the day) instead of Tuesday, it would be 57% probable it was a girl (take first 4 rows and columns only) Your logic is flawed. All the diagonal numbers must have a 2 not a 1.

@0xTommyGenesis @Math_files The intersection of Tuesday boy with Tuesday boy is only one possibility, so it's 27 total.

@GLabsPlus @Math_files It shows all 28 possibilities.

@ScottGPerson @Math_files Fair point. If only 1 of the kids is a Tuesday boy, then yes, there would be only 26 possibilities.

@GLabsPlus @Math_files The answer depends why the original information is provided. But as you have it, I think the (bt,bt) 1 needs to be greyed out too. She doesn’t say ‘at least one’. She is specific and says ‘one’. So the answer is 14/26, or 7/13 as I’d calc it, ~=53.8%.

@Math_files To those interested, check out my lecture on a similar but simpler classic probability puzzle: The Two Daughters Riddle Here it is: x.com/GLabsPlus/stat…

@Math_files The chart below may help explain things. It shows all 27 possibilities with a Tuesday boy in white, 14 of which include a girl. The two left most columns are the 1st kid, and the top two rows are the 2nd kid. Each white or Grey cell is a possible combination of 2 kids.

Posted again by popular demand: My lecture on The Two Daughters Riddle. A classic probability puzzle, that teaches a lot about the subject. Enjoy! youtu.be/bOH82W5zAkI

Probability is the portion of a population that meets certain conditions. The question boils down to: Of all women with two children, one of whom is a Tuesday boy, what portion of those women have a daughter as the other child? The restrictions alter the probability by altering the sample that we are working with.

@GLabsPlus @Math_files Why would the information of someone being born on a certain day affect the probability of a either/or question

@Mr_Eriq @Math_files If the question was what her next child will be, then yes, it's 50-50. But the question boils down to: Of all women with two children, one of whom is a Tuesday boy, what portion of those women have a daughter as the other child? Then the answer is 51.85%.

@GLabsPlus @Math_files randomness got no memory , so it's 50% a boy or 50% a girl no matter what happened before.

Attraction may be a deregulated economy, but there are many laws and social norms that regulate how people act in response to attraction. Perhaps the non-reproducing men from the left chart destabilize the system, leading to enforcement of the conditions on the right chart.

@RationalMale The absence of monogamous marriage laws and congruent social pressures, does seem to increase polygamy... but as the number of non mating men increases, the risk of violence and social instability also likely increases. Hence, monogamy appears to be more a stable social system.

The sexual marketplace is a deregulated economy.

The Legend of Zelda: Ocarina of Time is often ranked as the best video game ever made. A meaningful story with valuable lessons, beautiful memorable music, great visuals, and innovative dungeon design rarely seen today. Even Gen Alpha plays this 28 year old game.

@DiscussingFilm The Legend of Zelda: Ocarina of Time is a masterpiece. The story is a great fairy tale depicting the classic hero's journey, combined with a coming of age story and deep symbolic commentary on society and the human condition. Gameplay is perfect: Easy to learn, tough to master.

A major remake of ‘THE LEGEND OF ZELDA: OCARINA OF TIME’ is reportedly releasing this year. (Source: videogameschronicle.com/news/sources-n…)

Toronto approves city-run grocery stores. A big test indeed. When applying the scientific method, before conducting an experiment to test a theory, one should look at past experiments conducted to test the same theory, and see how those worked out.

@FoodProfessor Mathematician here. Price controls, whether through government run grocery stores or other means, sound "nice," but they tend to make goods more scarce for a very technical reason. Here's my mini lecture explaining why: x.com/GLabsPlus/stat…

BREAKING: Toronto approves city-run grocery stores In a 21–3 vote, councillors backed Anthony Perruzza’s plan to launch 4 municipally run stores to offer cheaper food. Big test for public retail.