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A hat contains eight one-dollar bills and two thousand-dollar bills. A coin is tossed. If it...

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Statistics

A hat contains eight one-dollar bills and two thousand-dollarbills. A coin is tossed. If it falls heads, Bill gets to draw, atrandom, two bills from the hat. If the coin falls tails, Bill drawsonly one bill, unless this first bill is a one-dollar bill; in thelatter case, he gets to draw two additional bills. What is theaverage value of the bills Bill draws?

Answer & Explanation Solved by verified expert
3.8 Ratings (401 Votes)
Let H shows the event that coin shows head and T shows the eventthat coin shows tail So we havePH PT 050Let X is a random variable shows the amount drawIf Coin shows headSince now he draws to two bills so possible draws are 1 1 11000 1000 1000That is X can take values 11 2 110001001 and100010002000Total number of bills in the hat 8 2 10Number of ways of selecting 2    See Answer
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