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Write your answer in simplest radical form, units
Write your answer in simplest radical form, units
2 answers:
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Answer:
Thus, the expected value of points for Derek and Mia are and
respectively.
Step-by-step explanation:
Number of green marbles = 2 and Number of Yellow marbles = 1
Then, total number of marbles = 2+1 = 3
A person selects two marbles one after another after replacing them.
So, the probabilities of selecting different combinations of colors are,
Now, we have that,
If two marbles are of same color, then Mia gains 1 point and Derek loses 1 point.
If two marbles are of different color, then Derek gains 1 point and Mia loses 1 point.
<h3>Also, the expected value of a random variable X isThen, the expected value of points for Derek is,
And the expected value of points for Mia is,
.
Thus, the expected value of points for Derek and Mia are and
respectively.