Question 455256: Can anyone help me solve this math problem? See below.
An urn contains 2-one dollar bills, 1 five dollar bill and 1 ten dollar bill. A player draws bills one at a time without replacement from the urn until a ten-dollar bill is drawn. Then the game stops. All bills are kept by the player. Determine:
(A) The probability of winning $11
(B) The probability of winning all bills in the urn.
(c) The probability of the game stoping at the second draw.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Can anyone help me solve this math problem? See below.
An urn contains
2-one dollar bills,
1 five dollar bill and
1 ten dollar bill.
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A player draws bills one at a time without replacement from the urn until a ten-dollar bill is drawn. Then the game stops. All bills are kept by the player. Determine:
(A) The probability of winning $11
How?: $1 then $10
Probability: (2/5)(1/4) = 1/10
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(B) The probability of winning all bills in the urn.
How?: not 10, then not 10, then not ten, then 10
Probability: (1-(1/4))(1-(1/3))(1-(1/2)1
= (3/4)(2/3)(1/2)
= 1/4
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(c) The probability of the game stopping at the second draw.
How? anything but 10 followed by 10
Probability: (3/4)(1/3) = 1/4
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Cheers,
Stan H.
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