Fatty October 11, 2010 Share Fatty GC Founder October 11, 2010 Solve this math problem. (cause it actually happened and I was like wow). 22 students in the class total, each has a name in a hat. 1 student is absent, and 3 are in a different classroom at the moment. I need to draw one name for a game. I draw 1, and it is one of the people that aren't here. Ok, I get that, the chances of doing that are 4/22, or ~ 18%. So I set that name aside and then procede to draw two more names...both of which are not in the room either. I could tell you the odds of doing this individually, but want someone to tell me the odds of doing it consecutively, while removing the previously drawn name from the lot. So, in review, I drew 3 names in a row, which were 3 of the 4 that were not in the room, out of 22 total. I told the kids the odds of that were highly unlikely...I just would love to see if you can calculate just how unlikely it really was... Thanks! (Yes, show your work!) Link to comment Share on other sites More sharing options...
lousiest October 11, 2010 Share lousiest Member October 11, 2010 (edited) (4/22) * (3/21) * (2/20) Edit: You should stop whatever you're doing and go buy a lottery Edited October 11, 2010 by lousiest Link to comment Share on other sites More sharing options...
yErMoTH3r October 11, 2010 Share yErMoTH3r GC Founder October 11, 2010 The math is simple. You should ask for a stats nerd. Even with that low sample size, I'd say the answer lies along the lines of the deck of cards example always used in the classroom. Assuming you had started from a perfectly shuffled deck of course. *Lousy wins using the Rule of Multiplication. Link to comment Share on other sites More sharing options...
EbilDustBunny October 11, 2010 Share EbilDustBunny GC Alumni October 11, 2010 2+2 = <*)}}}>< Link to comment Share on other sites More sharing options...
stutters October 12, 2010 Share stutters GC Alumni October 12, 2010 "According to wikipedia..." Link to comment Share on other sites More sharing options...
Fatty October 12, 2010 Author Share Fatty GC Founder October 12, 2010 Heh, gj lousiest! Yea, it comes out to 0.259%. Crazy....which is why I stood there looking at my 5th graders telling them they have no idea how incredibly unlikely that was. It's not like pocket aces, which are 1/200...you just play 200 hands and you'll see it. To do this in one shot was sick. I guess on those odds, I could expect that to happen if I tried at least 386 times? Link to comment Share on other sites More sharing options...
mohawk October 12, 2010 Share mohawk Member October 12, 2010 (edited) sounds like a gmat question Edited October 12, 2010 by mohawk Link to comment Share on other sites More sharing options...
lousiest October 12, 2010 Share lousiest Member October 12, 2010 Not anymore. That's a 5th grade level question these days Link to comment Share on other sites More sharing options...
JackieChan October 12, 2010 Share JackieChan GC Alumni October 12, 2010 At least we know Lousiest is smarter than a 5th grader. Ba-Dum Tish Link to comment Share on other sites More sharing options...
lousiest October 13, 2010 Share lousiest Member October 13, 2010 Oh! Oh!!! I'm gonna get you Jackie.. just you wait Link to comment Share on other sites More sharing options...
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