SOLUTION: 2. A bag contains 3 marbles: a red one, a blue one, and a yellow one. Suppose that two marbles are selected without replacement. (a) How many outcomes are in the sample space? Li

Algebra ->  Probability-and-statistics -> SOLUTION: 2. A bag contains 3 marbles: a red one, a blue one, and a yellow one. Suppose that two marbles are selected without replacement. (a) How many outcomes are in the sample space? Li      Log On


   



Question 509158: 2. A bag contains 3 marbles: a red one, a blue one, and a yellow one. Suppose that two marbles are selected without replacement.
(a) How many outcomes are in the sample space? List them \
(b) What is the probability that a red marble, and then a yellow marble (in that order) are selected?
(c) What is the probability that a red marble and a yellow marble (not necessarily in that order) are selected?
3. A bag contains 3 marbles: a red one, a blue one, and a yellow one. Suppose that two marbles are selected with replacement.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A bag contains 3 marbles: a red one, a blue one, and a yellow one. Suppose that two marbles are selected without replacement.
(a) How many outcomes are in the sample space?:::3*2 = 6
List them:: rb,ry,br,by,yr,yb
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(b) What is the probability that a red marble, and then a yellow marble (in that order) are selected?
Ans: 1/6
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(c) What is the probability that a red marble and a yellow marble (not necessarily in that order) are selected?
Ans: 2/6 = 1/3
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3. A bag contains 3 marbles: a red one, a blue one, and a yellow one. Suppose that two marbles are selected with replacement.
Sample space 3*3 = 9
rr,rb,ry,bb,br,by,yy,yr,yb
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Cheers,
Stan H.