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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

The diagram below shows the contents of a jar from which you select marbles at random.

An illustration of a jar of marbles is shown. Four of the marbles are labeled with an upper R, seven of the marbles are labeled with an upper B, and five of the marbles are labeled with an upper G. The key identifies upper R to represent red marbles, upper B to represent blue marbles, and upper G to represent green marbles.

What is the probability of selecting a red marble, replacing it, and then selecting a blue marble? Show your work.
What is the probability of selecting a red marble, setting it aside, and then selecting a blue marble? Show your work.
Are the answers to parts (a) and (b) the same? Why or why not?

Respuesta :

Tracykev

a) prob(red) = 4/16 = 1/4

your are replacing the marble, so you are back to 16

prob(blue) = 7/16

so prob(red, then blue) = (1/4)(7/16) = 7/64 or appr .109

b) prob(red) = 1/4 , just as before

but you are not returning the marble, so there are only 15 left

prob(blue) = 7/15

prob(red, then blue) = (1/4)(7/15) = 7/60 = appr .117

c) leave it up to you

hannahfloresco05

Answer:

A:

probability of red = 4/16 = 1/4

prob(blue) = 7/16

probability of red, then blue is (1/4)(7/16) = 7/64

B:

probability red = 1/4

probability blue = 7/15

probability of red, then blue = (1/4)(7/15) = 7/60

c) your decision

Step-by-step explanation:

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