A bag has 1 red marble, 4 blue marbles, and 3 green marbles. Peter draws a marble randomly from the bag, replaces it, and then draws another marble randomly. What is the probability of drawing 2 blue marbles in a row? Explain your answer.

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A bag has 1 red marble, 4 blue marbles, and 3 green marbles. Peter draws a marble randomly from the bag, replaces it, and then draws another marble randomly. What is the probability of drawing 2 blue marbles in a row? Explain your answer.

Mathematics
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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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HI!!
you got a clue or you want to go real slow?
hi again lol

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Other answers:

I kinda have a clue but im not sure
ok so lets take it step by step how many marbles are in the bag total?
8
ok and how many are blue?
4
ok good, so what is the probability that the first one selected is blue?
ummm
4/8?
make a guess, if you are wrong i will tell you
yeah \[\frac{4}{8}\] except that you really want to say \(\frac{1}{2}\) same thing
oh ok
now you put the marble back (it says that) so you still have 4 blue marbles in the bag and 8 total
oh so it would be 1/2 again?
yes and for them both to happen, blue and then blue again, the probability is the product of those two
i.e. \[\frac{1}{2}\times \frac{1}{2}\]
hope that is more or less clear
Yeah makes sense
k good

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