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Oysi is not online. Oysi
Joined: 06 Jul 2009
Total Posts: 9058
27 Sep 2011 08:24 AM
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WatchOutForDinosaurs is not online. WatchOutForDinosaurs
Joined: 18 Aug 2010
Total Posts: 211
27 Sep 2011 08:29 AM
Is it 4! ?
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WatchOutForDinosaurs is not online. WatchOutForDinosaurs
Joined: 18 Aug 2010
Total Posts: 211
27 Sep 2011 08:33 AM
5! = 5*4*3*2*1
4! = 4*3*2*1
100! = 100*99*98*97...
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LocalChum is not online. LocalChum
Joined: 04 Mar 2011
Total Posts: 6906
27 Sep 2011 08:36 AM
Hai Oysi

[/aras]
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HotThoth is not online. HotThoth
Forum Moderator
Joined: 24 Aug 2010
Total Posts: 1176
27 Sep 2011 12:35 PM
An easy way to think about this is that for each fruit, you have two possibilities: either you take it, or you don't. So the total number of possibilities would be 2*2*2*2 = 2^4 different combinations. However, since the problem tells you you have to take at least one fruit, that means you can't leave all of the fruits behind, so the answer you're looking for is 2^4 - 1, or 15. With 100 fruits it'd be 2^100 - 1, or (A REALLY BIG NUMBER).

For a lot of probability problems, I like to use strings, because I find it easier to think about. So for this one, I would line up all the fruits in a row: _ _ _ _, and fill each spot with either a T or an L (whether I take it or leave it). We're not allowed to have LLLL, but all the other possibilities are ok.

Generally, though, when asked this in math classes in the past, the solution recommended was (since there are only 4 fruits) just to count them all :(. As long as you're careful, that's fine [I'd still use the string way, so then I could list them alphabetically and make sure none were missed XD].

And 4! would be the number of ways you could take the fruits if you cared about ordering (if taking the strawberry before the watermelon was different from taking the watermelon before the strawberry). The idea of using a series was not incorrect, but since ordering doesn't matter, you'd want (4 choose 1) + (4 choose 2) + (4 choose 3) + (4 choose 4). This should also work out to 15 :). [Check out binomial coefficients if you've never seen this notation before].
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WatchOutForDinosaurs is not online. WatchOutForDinosaurs
Joined: 18 Aug 2010
Total Posts: 211
27 Sep 2011 12:42 PM
I thought the question was "How many ways can you arrange four things?"
Should probably read things twice before posting.
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Oysi is not online. Oysi
Joined: 06 Jul 2009
Total Posts: 9058
27 Sep 2011 01:03 PM
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Oysi is not online. Oysi
Joined: 06 Jul 2009
Total Posts: 9058
27 Sep 2011 01:11 PM
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HotThoth is not online. HotThoth
Forum Moderator
Joined: 24 Aug 2010
Total Posts: 1176
27 Sep 2011 01:22 PM
Yes-- since you replaced the king (and reshuffled I'm assuming), the events are completely independent from one another. When you have two completely independent events, probability-wise, "AND" is the same as multiplication.

So Prob-of-first-king AND Prob-of-second-king is 1/13 * 1/13. It's a little trickier if you DON'T replace the king and reshuffle, though.
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Oysi is not online. Oysi
Joined: 06 Jul 2009
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27 Sep 2011 01:32 PM
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epic990 is not online. epic990
Joined: 31 Aug 2010
Total Posts: 541
27 Sep 2011 01:51 PM
Hotthoth seems a very helpful mod.
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ArceusInator is not online. ArceusInator
Joined: 10 Oct 2009
Total Posts: 30553
27 Sep 2011 03:24 PM
How come mods don't do MY math homework...
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blocco is not online. blocco
Joined: 14 Aug 2008
Total Posts: 29474
27 Sep 2011 03:36 PM
HotThoth ish an admin

he's better than Sorcus

because he trolls and helps

and he trolls sorcus

so there's +1 right thar
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myrco1001 is not online. myrco1001
Joined: 17 Sep 2010
Total Posts: 2574
27 Sep 2011 03:37 PM
'so there's +1 right thar'
*so there's +9001 right thar

-♂ MYRCO♂-
Scripter, music obbsesed, atheist and dutch. What else?
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xSIXxStorage is not online. xSIXxStorage
Joined: 22 Aug 2010
Total Posts: 1811
27 Sep 2011 03:44 PM
title fix
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Legend26 is not online. Legend26
Joined: 08 Sep 2008
Total Posts: 10586
27 Sep 2011 03:52 PM
"4/52 * 3/51"

Yea, I think that's right.
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blocco is not online. blocco
Joined: 14 Aug 2008
Total Posts: 29474
27 Sep 2011 03:53 PM
^

correct because if you take the king out, the numerator and denominator both decrease

gud job Oysi
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dylanbuider is not online. dylanbuider
Joined: 14 Jun 2008
Total Posts: 17141
27 Sep 2011 05:09 PM
Stop making the Mods do your Homework. :-/
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ninga95 is not online. ninga95
Joined: 16 Jul 2008
Total Posts: 5026
27 Sep 2011 05:17 PM
When I learned probability in math class I was the best at in my class! I just don't practice it so I forgot lol
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Oysi is not online. Oysi
Joined: 06 Jul 2009
Total Posts: 9058
27 Sep 2011 05:45 PM
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nate890 is not online. nate890
Joined: 22 Nov 2008
Total Posts: 21686
27 Sep 2011 05:49 PM
"When I learned probability in math class I was the best at in my class! I just don't practice it so I forgot lol"

:o so was I, hax

­<'+1 Post. Ujelly?'>
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Spectrumw is not online. Spectrumw
Joined: 04 Aug 2009
Total Posts: 13510
27 Sep 2011 05:49 PM
"I just don't practice it so I forgot lol"

I know that feel bro. Vacations == Brain killer.
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nate890 is not online. nate890
Joined: 22 Nov 2008
Total Posts: 21686
27 Sep 2011 05:56 PM
"I know that feel bro. Vacations == Brain killer."

Summer = brain killer

­<'+1 Post. Ujelly?'>
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iamogggg is not online. iamogggg
Joined: 09 Sep 2008
Total Posts: 642
27 Sep 2011 07:47 PM
Today I discovered 27 different ways to kill someone with a logarithm.
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blocco is not online. blocco
Joined: 14 Aug 2008
Total Posts: 29474
27 Sep 2011 07:53 PM
^that's loco right thar
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