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
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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
jamiebookeater
  • jamiebookeater
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
3/7*3/7=9/49
anonymous
  • anonymous
scratch that
anonymous
  • anonymous
then what

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anonymous
  • anonymous
Wow i feel stupid 3/7*7/7 i think so 21/49 seems more reasonable.
anonymous
  • anonymous
does that seem right?
anonymous
  • anonymous
It makes sense the first time I did I was intending both cans to be cola.
anonymous
  • anonymous
It seems more reasonable, but is still wrong.
anonymous
  • anonymous
so how do u do it?
anonymous
  • anonymous
Draw a probability tree!
anonymous
  • anonymous
Well than Sir Newton provide your expertise.
anonymous
  • anonymous
Well, your method give the answer 3/7, which is clearly wrong; that's as if only one was picked, and completely ignores what happens if you pick another one first THEN cola; try again, or draw a tree!
anonymous
  • anonymous
3/7*4/7=12/49?
anonymous
  • anonymous
The probability of picking one in two attempts isn't less than picking one in one attempt. Try again.
anonymous
  • anonymous
I dont get it order doesnt matter
anonymous
  • anonymous
You either pick one first (3/7) or you pick one of the others first (4/7). If you pick it first (3/7) you can ignore that because whatever you pick next will make it true. For the others (4/7), you now have a 3/6 chance of picking cola. It's (3/7) * 1 + (4/7) * (3/6)
anonymous
  • anonymous
but how can u times those fractions?
anonymous
  • anonymous
is it the 3/6?
anonymous
  • anonymous
can u please help me
anonymous
  • anonymous
(a/b)*(c/d) = (ac)/(bd)
dumbcow
  • dumbcow
15/21

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