a cooler contains 7 cans of soda 3 colas, 3 oranges, and 1 cherry. Two cans are selected at random without replacement. Find the prob that at least one can is cola

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a cooler contains 7 cans of soda 3 colas, 3 oranges, and 1 cherry. Two cans are selected at random without replacement. Find the prob that at least one can is cola

Mathematics
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3/7. There
Oops tyop
to find the probability of your case, you need to compute the prob P(exactly one can is cola) + P(exactly two cans are cola) + P(all three cans are cola) but tat will take a while so we use another technique

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Other answers:

3/7 right?
sorry, not need for all three part
No that was the first part but my ipad is spazzing. I'll answer if yuki cant
anyway, the complement of (at least one cola) is (no cola at all) and the probability of a complement is p(complement) = 1-p(statement) so 1-p(no cola) would be easier to calculate
can you find the probability that the two cans you pulled out contains no cola can ?
how would u do that
okay so since you are pulling out two cans from a container at random without any replacement, the the way you pull out two cans will have these following steps 1), pull out a can from 7 cans 2), pull out another from the "remaining 6" so, try to answer step 1). what is the probability of pulling out a non-cola can out of 7 ?
6/7
that is not right you have 4 cans that ar non-cola out of 7 so ...
4/7?
very good
now, how many non-cola cans are there in the container left ?
First draw 3/7 probability for a cola second draw 3/6 probality for a cola probability from both draws getting at least on cola is 92% Doesn't seem right.
2
NO ONE GIVE CHICKA THE ANSWER!!!!
nope initially you had 4 non-cola cans right ? are you having trouble identifying what a non-cola can is ? Cherry and Orange are the non-cola cans. we had 1 cherry and 3 oranges , 4 total. since we pulled out one , so how many should be left ?
3
exactly, so now you are ready to answer step 2) what is the probability that you can pull out the 3 non-cola cans from the remaining 6 ?
Hahaha having trouble identifying what a non-cola is...
well, there is cherry cola and lime cola right ?
is it .71
I like Lime Cola better :)
Go with that one.
CAN SOMEONE HELP ME
you are only two steps before the answer ok? so what was the prob of 3 cans out of 6 ?
3/6
very good
the last step is to multiply those two probabilities, 4/7 * 3/6 = ?
20.5714
haha you can just use fractions you know, 2/7 anyways, remember that we were looking for the complement ? all you have to do now is to subtract this from 1. so the answer is 1 - 2/7 = ?
so 5/7
very good
thank u
Now if you really seek help, I recommend you to hire a private tutor or go to a tutoring center or an after school program. the type of help you need is not easy to obtain online and as you noticed, it takes a bit while to solve just one problem. I will be more than happy to help you but you need to relax and get help efficiently, ok? Now good luck. :)
P(there is no cola)=7/10*6/9=21/45 P(there is a least 1 cola)=1-P(there is no cola)=1-21/45=24/45

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