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Number Girl was formed in August 1995, when Shutoku Mukai decided to form a band to play at a local event. A solo artist at the time, Mukai was briefly involved in one band called "Number Five". Learning that his new members were previously in a band called "Cowgirl", he combined the names, and christened his new band "Number Girl".
Shutoku's vocal style is one of the band's most distinctive traits, a combination of shaky singing, aggressive growls and screams, spoken word, and occasional rapping. Although most lyrics are in Japanese, his strong songwriting was one of the band's most critically lauded aspects. Shutoku's early lyrics dealt with conventional themes such as high school and girls, reflecting adolescent aggression rather typical of nineties hard rock; however, with later albums, Mukai would begin exploring deeper lyrical themes, such as disillusionment with Japanese culture and harsh social criticism, that distinguished Number Girl from their peers.[citation needed]
Okay so there are the three songs, Jessie's Girl by Rick Springfield, Jenny by Tommy Tutone, and Stacey's Mom by Fountains of Wayne. So what I'm thinking is they are all about the same woman. Jessie's Girl, released February of 1981, about a guy who is in love with his best friend girlfriend and wants to be with her. Jenny released September of 1981, about a woman's phone number is written on a bathroom wall, and again a man who wants to be with her. And finally Stacey's Mom released September of 2003. About a kid who is lusting after a girls mom. So, it started out that Jessie had a girlfriend, Rick Springfield wanted to be with her, he won her over. So pissed off, Jessie wrote her name and number up on a bathroom wall saying "for a good time call 867 5309" , years pass and they are still togerher. They settle down and get married, and have a daughter named Stacey. How do we know that Rick Springfield got the girl? In the music video for Stacey's Mom, Stacey gets into a car with her mom, the licence plate of the car says "I
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Number Girl could still write a battering number, but Sappukei (translation: "Tastelessness") also found Mukai simply screaming more. When done right, it hit hard, like on the push-pull guitar surge of "Zegen Vs Undercover," but elsewhere it just upped the volume without adding impact. Sappukei found Number Girl experimenting a touch more, but ultimately comes off like a transitional piece for a band starting to get restless with their sound, but not ready to throw caution totally away.
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In a country in which people only want boys, every family continues to have children until they have a boy. If they have a girl, they have another child. If they have a boy, they stop. What is the proportion of boys to girls in the country?
However, it turns out that the answer depends on the number of families there are in the country. If there is a finite number of families, then in expectation, there'll be more boys than girls.
Consider the extreme scenario where there's only one family, then 1/2 the time the fraction of girls is 0 (B in our only family), 1/4 the time it's 1/2 (GB), 1/8 the time it's 2/3 (GGB), 1/16 the time it's 3/4 (GGGB) etc. And so the expected fraction of girls is:
I expect proportion to remain 50% for each expected outcome from larger numbers of families but haven't proved anything as such. This is a lot simpler though and doesn't require summation notation or any advanced maths.
When I first heard this puzzle (not here), I was convinced that you would end up with more girls. My intuition was of course wrong. I love the proof that this is not the case, but for those that enjoy a demonstration to enhance the intuition, this is some python code I wrote to convince myself that this is indeed the case.
The ratio is 1:1. Your summing of an infinite series provides the result of the chance that there is a boy in the family (theoretically 1 because births are repeated infinitely until a boy is born); as you approach 1 in your answer to this, you approach zero in the chance that there are no girls in the family. This is all this sum actually tells us about the families.
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