Question

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

Answer 1

3/7. There

Answer 2

Oops tyop

Answer 3

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

Answer 4

3/7 right?

Answer 5

sorry, not need for all three part

Answer 6

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

Answer 7

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

Answer 8

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

Answer 9

how would u do that

Answer 10

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 ?

Answer 11

6/7

Answer 12

that is not right

you have 4 cans that ar non-cola out of 7 so ...

Answer 13

4/7?

Answer 14

very good

Answer 15

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

Answer 16

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.

Answer 17

2

Answer 18

NO ONE GIVE CHICKA THE ANSWER!!!!

Answer 19

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 ?

Answer 20

3

Answer 21

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 ?

Answer 22

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

Answer 23

well, there is cherry cola and lime cola right ?

Answer 24

is it .71

Answer 25

I like Lime Cola better :)

Answer 26

Go with that one.

Answer 27

CAN SOMEONE HELP ME

Answer 28

you are only two steps before the answer ok?

so what was the prob of 3 cans out of 6 ?

Answer 29

3/6

Answer 30

very good

Answer 31

the last step is to multiply those two probabilities,

4/7 * 3/6 = ?

Answer 32

20.5714

Answer 33

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 = ?

Answer 34

so 5/7

Answer 35

very good

Answer 36

thank u

Answer 37

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. :)

Answer 38

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