anonymous
  • anonymous
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
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
3/7. There
anonymous
  • anonymous
Oops tyop
yuki
  • yuki
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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More answers

anonymous
  • anonymous
3/7 right?
yuki
  • yuki
sorry, not need for all three part
anonymous
  • anonymous
No that was the first part but my ipad is spazzing. I'll answer if yuki cant
yuki
  • yuki
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
yuki
  • yuki
can you find the probability that the two cans you pulled out contains no cola can ?
anonymous
  • anonymous
how would u do that
yuki
  • yuki
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 ?
anonymous
  • anonymous
6/7
yuki
  • yuki
that is not right you have 4 cans that ar non-cola out of 7 so ...
anonymous
  • anonymous
4/7?
yuki
  • yuki
very good
yuki
  • yuki
now, how many non-cola cans are there in the container left ?
radar
  • radar
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.
anonymous
  • anonymous
2
anonymous
  • anonymous
NO ONE GIVE CHICKA THE ANSWER!!!!
yuki
  • yuki
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 ?
anonymous
  • anonymous
3
yuki
  • yuki
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 ?
anonymous
  • anonymous
Hahaha having trouble identifying what a non-cola is...
yuki
  • yuki
well, there is cherry cola and lime cola right ?
anonymous
  • anonymous
is it .71
anonymous
  • anonymous
I like Lime Cola better :)
anonymous
  • anonymous
Go with that one.
anonymous
  • anonymous
CAN SOMEONE HELP ME
yuki
  • yuki
you are only two steps before the answer ok? so what was the prob of 3 cans out of 6 ?
anonymous
  • anonymous
3/6
yuki
  • yuki
very good
yuki
  • yuki
the last step is to multiply those two probabilities, 4/7 * 3/6 = ?
anonymous
  • anonymous
20.5714
yuki
  • yuki
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 = ?
anonymous
  • anonymous
so 5/7
yuki
  • yuki
very good
anonymous
  • anonymous
thank u
yuki
  • yuki
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. :)
mathmagician
  • mathmagician
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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