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unknown1123
Experimental

Registered: 05/15/08
Posts: 5,813
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Solve the probablity problem :)
#15172848 - 10/03/11 05:28 PM (12 years, 7 months ago) |
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In a particular packet of 200 seeds, 90 will produce blue flowers, 60 will produce red flowers, and 50 will produce white flowers. Three flowerpots are available and are numbered 1, 2, and 3. A seed is randomly selected and planted in the pot #1. Another seed is selected at random and planted in pot #2. A third is randomly selected and planted in pot #3. What is the probability that the pots will have red, white and blue flowers? Round your answer to four decimal places.
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ninja cat 09
A paranoid android



Registered: 10/11/09
Posts: 4,170
Loc: Mexico
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Re: Solve the probablity problem :) [Re: unknown1123]
#15173004 - 10/03/11 05:59 PM (12 years, 7 months ago) |
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15% 10% and 8.333...% respectively(colours).
I might be wrong but the process is 90/200=.45 .45/3=.15=15%
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DieCommie

Registered: 12/11/03
Posts: 29,258
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Re: Solve the probablity problem :) [Re: ninja cat 09]
#15173031 - 10/03/11 06:04 PM (12 years, 7 months ago) |
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I get,
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Seuss
Error: divide byzero



Registered: 04/27/01
Posts: 23,480
Loc: Caribbean
Last seen: 3 months, 8 days
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Re: Solve the probablity problem :) [Re: DieCommie]
#15174306 - 10/03/11 09:48 PM (12 years, 7 months ago) |
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Six ways that the seeds can be picked: RWB, RBW, WRB, WBR, BRW, and BWR
The above can be generalized to: n!/(n-r)! where n is the number of different types of seeds and r is the number of seeds that we are going to pick.
In this case we have n=3 (three different types of seeds) and r=3 (we are going to pick three seeds from the collection): 3!/(3-3)! = (3*2*1)/1 = 6
Probability of picking one seed of each color for each case:
p1 = RWB -> (60/200) * (50/199) * (90/198) ~= 0.0343 p2 = RBW -> (60/200) * (90/199) * (50/198) ~= 0.0343 ... etc ... p6 = BWR -> (90/200) * (50/199) * (60/198) ~= 0.0343
The above, for each case, can be generalized to: (50*60*90)/(200*199*198)
And with six cases, you get: 6*[(50*60*90)/(200*199*198)] ~= 0.205573, rounded: 0.2056
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unknown1123
Experimental

Registered: 05/15/08
Posts: 5,813
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Re: Solve the probablity problem :) [Re: Seuss]
#15175564 - 10/04/11 07:58 AM (12 years, 7 months ago) |
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Quote:
Seuss said: Six ways that the seeds can be picked: RWB, RBW, WRB, WBR, BRW, and BWR
The above can be generalized to: n!/(n-r)! where n is the number of different types of seeds and r is the number of seeds that we are going to pick.
In this case we have n=3 (three different types of seeds) and r=3 (we are going to pick three seeds from the collection): 3!/(3-3)! = (3*2*1)/1 = 6
Probability of picking one seed of each color for each case:
p1 = RWB -> (60/200) * (50/199) * (90/198) ~= 0.0343 p2 = RBW -> (60/200) * (90/199) * (50/198) ~= 0.0343 ... etc ... p6 = BWR -> (90/200) * (50/199) * (60/198) ~= 0.0343
The above, for each case, can be generalized to: (50*60*90)/(200*199*198)
And with six cases, you get: 6*[(50*60*90)/(200*199*198)] ~= 0.205573, rounded: 0.2056
Thanks! +
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Gainer
Syzurp



Registered: 10/20/04
Posts: 1,468
Loc: Ðirty §outh
Last seen: 3 months, 26 days
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Re: Solve the probablity problem :) [Re: unknown1123]
#15175591 - 10/04/11 08:06 AM (12 years, 7 months ago) |
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Lol I think you just did the guy's homework suess. Eh I was never good at probability and statistics. I think I got a C in it I was probably doing way too many drugs back then tho, I mean I'm a wiz at math prob and stats should be cake walk for me.
-------------------- "I mean, it's like a koala bear crapped a rainbow in my brain!" -Captain Murphy "Quit being a bitch and pill me up" -Dr. Quinn "Smoke that bitch" "I am not Stormy, I am He who smokes Bitches!" -Stormy
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Seuss
Error: divide byzero



Registered: 04/27/01
Posts: 23,480
Loc: Caribbean
Last seen: 3 months, 8 days
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Re: Solve the probablity problem :) [Re: Gainer]
#15175635 - 10/04/11 08:21 AM (12 years, 7 months ago) |
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> Lol I think you just did the guy's homework suess.
I just verified DieCommie's answer and explained how to solve the problem. The important part is understanding how the problem is solved, not knowing the answer.
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unknown1123
Experimental

Registered: 05/15/08
Posts: 5,813
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Re: Solve the probablity problem :) [Re: Seuss]
#15175835 - 10/04/11 09:34 AM (12 years, 7 months ago) |
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I wish I was still in statistics. But it's pre-calc for me this semester.
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5HTSynaptrip
Dopamine Enthusiast



Registered: 09/14/08
Posts: 4,360
Loc: USA
Last seen: 6 years, 1 month
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Re: Solve the probablity problem :) [Re: unknown1123]
#15175852 - 10/04/11 09:40 AM (12 years, 7 months ago) |
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The best thing about statistics are the programs like Maple14. 
I remember when I took that class though. So many students had no idea their TI-83/84's could do the first year of stats. Calculating the std. dev. and std. dev. of the mean by hand for n>15 sucks balls.
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Science is a way of thinking much more than it is a body of knowledge. - My hero, who will be forever remembered, Carl Sagan.
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