Also, I am attempting the Putnam challenge, a difficult and analytical math test that has answers that you gotta think outside of the box for.

Question 0: Say 2 baseball teams are equally likely to win a game, and they compete against a 7 game World Series with no ties allowed, 4 win majority. Is the World Series more likely to end after the 6th game or 7th game?

My friend and I attempted this problem. He is a computer geek, and he was able to come up with a Binary sequence of every possible combination of wins, and he noticed that 34 of the 62 permutations allowed it to be 7 games, and that 18 of them allowed it to be 6 games, so he said 7. But, he was wrong.

I thought a little bit outside of the box. I noticed that the outcome of the 7th game didn't matter regardless. So I made all 38 binary combinations of his permutations, and put it in a coinflip scenario. I took each set of unique 6 binary digits possible, and I noticed that 20 of them had 4 and 2 of one or the other (representing game end after 6 games), and 18 3:3 combos (for 7th game), meaning it is more likely to end after the 6th game.

This is the type of deception that this challenge causes. Total time on this problem: 25 minutes.

you solved it no?

Also, I am attempting the Putnam challenge, a difficult and analytical math test that has answers that you gotta think outside of the box for.

Question 0: Say 2 baseball teams are equally likely to win a game, and they compete against a 7 game World Series with no ties allowed, 4 win majority. Is the World Series more likely to end after the 6th game or 7th game?

My friend and I attempted this problem. He is a computer geek, and he was able to come up with a Binary sequence of every possible combination of wins, and he noticed that 34 of the 62 permutations allowed it to be 7 games, and that 18 of them allowed it to be 6 games, so he said 7. But, he was wrong.

I thought a little bit outside of the box. I noticed that the outcome of the 7th game didn't matter regardless. So I made all 38 binary combinations of his permutations, and put it in a coinflip scenario. I took each set of unique 6 binary digits possible, and I noticed that 20 of them had 4 and 2 of one or the other (representing game end after 6 games), and 18 3:3 combos (for 7th game), meaning it is more likely to end after the 6th game.

This is the type of deception that this challenge causes. Total time on this problem: 25 minutes.

olivine group is a neosilicate

Mg2SiO4 (Forsterite) also known as gemstone peridot

(Mg, Fe)2SiO4 (Olivine)

Fe2SiO4 (Fayalite)

yellow-green hardness 6.5-7 orthorhombic


Pyroxenes include hypersthene, diopside, hedenbergite, augite, jadeite, and spodumene, all of which make up the Inosilicates along with the amphiboles


Amphiboles, as stated above are also Inosilicates, which include tremolite, actinolite, hornblende, glaucophane, and riebeckite

Mica Group with 3 layer sheet structure of K+, Ca+2, and Na+2, which is also called the Phyllosilicate group.

Quartz/Amethyst/Citrine, not to me confused with onyx/sardonyx/chalcedony, is a tectosilicate


found in a book that I used in my geoscience class in high school:

National Audubon Society Field Guide to Rocks and Minerals

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lol is this d!ckhead seriously still outsourcing people to google stuff for him for free