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

- anonymous

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- anonymous

3/7. There

- anonymous

Oops tyop

- 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

3/7 right?

- yuki

sorry, not need for all three part

- anonymous

No that was the first part but my ipad is spazzing. I'll answer if yuki cant

- 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

can you find the probability that the two cans
you pulled out contains no cola can ?

- anonymous

how would u do that

- 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

6/7

- yuki

that is not right
you have 4 cans that ar non-cola out of 7 so ...

- anonymous

4/7?

- yuki

very good

- yuki

now, how many non-cola cans are there in the container left ?

- 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

2

- anonymous

NO ONE GIVE CHICKA THE ANSWER!!!!

- 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

3

- 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

Hahaha having trouble identifying what a non-cola is...

- yuki

well, there is cherry cola and lime cola right ?

- anonymous

is it .71

- anonymous

I like Lime Cola better :)

- anonymous

Go with that one.

- anonymous

CAN SOMEONE HELP ME

- yuki

you are only two steps before the answer ok?
so what was the prob of 3 cans out of 6 ?

- anonymous

3/6

- yuki

very good

- yuki

the last step is to multiply those two probabilities,
4/7 * 3/6 = ?

- anonymous

20.5714

- 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

so 5/7

- yuki

very good

- anonymous

thank u

- 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

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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