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10 RED MARBLES AND 10 BLUE MARBLES ARE PLACED INTO A BAG.

10 RED MARBLES AND 10 BLUE MARBLES ARE PLACED INTO A BAG.

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Author: Christine Farr
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10 red marbles and 10 blue marbles are placed into a bag.  Alex mixes up the bag and randomly selects a marble.  He continues to do so, replacing the marble after each selection, until a red marble is selected.                            (10 points)
What is the probability that the first time that a red marble is pulled is on Alex’s 6th try?
 
On average, how many marbles will Alex have to pull in order to get a red marble?           (Hint: use math expectation)


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