A bag contains 5 chocolate, 3 peanut butter, 4 oatmeal and 4 sugar cookies. If 2 cookies are selected randomly, what is the probability that they will be the same kind?
RESPOND QUICK
16 cookies lets do chocolate first \[\frac{ 5 }{ 16 }\] that first one will be chocolate \[\frac{ 4 }{ 16 }\] that the next one will be chocolate or \[\frac{ 1 }{ 4 }\]
oops did that wrong
\[\frac{ 4 }{ 15 }\] i meant
\[\frac{ 3 }{ 16 }\] is the first one will be peanut butter \[\frac{ 2 }{ 15 }\] that the second one will be the same
\[\frac{ 4 }{ 16 }\] that the first one is oatmeal/sugar \[\frac{ 1 }{ 4 }\] when simplified \[\frac{ 3 }{ 15 } or \frac{ 1 }{ 5 }\] that the second one will be as well
I still dont get what your doing
WHATS the answer I need this urgently
well whats your options
You can get 2 chocolate, or 2 peanut butter, or 2 oatmeal, or 2 sugar \[\Large \frac{{5\choose 2}}{{16\choose 2}}+\frac{{3\choose 2}}{{16\choose 2}}+\frac{{4\choose 2}}{{16\choose 2}}+\frac{{4\choose 2}}{{16\choose 2}}\]
a. 6.7% b. 30% c.9% d. 93.3%
This doesn't give me any of these answers. I get 25/120=5/24=20.8% Even if I try it using @KlOwNlOvE 's method which gives me the same result, it's still 5/24
I got the answer choices off my test so I think there's a problem
(No wonder I couldn't find the answers...)
hmm.. weird.
I know right
Hopefully the answer choices are wrong o.o or maybe they incorrectly worded the question, or made a typo (maybe they mean 6 instead of 5 chocolate or smtg? :S)
about the test I got a 90% because I missed this question 9/10
=( can you check it with your teacher?
No Im kinda bummed right now cause I cant retake it but at least its better than a 80%
Well I mean like can you ask the teacher what the answer is, and how they get to it? Because there is most likely a typo in this.
But I cant cause I'm taking an online course my parents signed me up for with NO TEACHER SUPPRORT
Thats why im asking people on open study to help
ohh i see :s
Maybe were wrong on the question and its not a typo
I haven't got a typo in this whole course so its rare we dint get the answer
I've done quite a few of these kinds of problems recently, so it feels very fresh in my head so I'm not sure what I could have done wrong. Furthermore, this type of problem here http://math.stackexchange.com/questions/294850/3-balls-drawn-from-1-urn-probability-all-same-color-with-without-replacement is very similar to what you are asked, except replace cookies for balls, and they are interested in 3 identical balls, but you it's 2 identical cookies
Although I did assume without replacement.. maybe the question wants it with replacement? :S
I guess so Say.. We were chatting for a long time almost an hour
I gave you a medal and I fanned you
lol I didn't realize how long. I have been going throgh other questions and other windows too lol, multitasking. I just don't like leaving the person who asked the question without a full clear solution :S
Thanks for spending your time and commitment
your welcome :). Good luck with the rest of your course !
Thank you! By the way right now I'm studying Odds in Favor and Odds Against and its pretty hard
ahh . Well if you have more questions, I should be able to help :) I like probability questions hehe
Say.. Its 7:32 right now so its time for my dinner so I have to say goodbye. Maybe we will chat again someday but my course end tomorrow so I wont be in open study that often
Bye Bye
ok, bye!
Join our real-time social learning platform and learn together with your friends!