An urn contains 3 one dollar bills, 1 five dollar bill and 1 ten dollar bill. A

Question

An urn contains 3 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 $10 bill is drawn. then the game stops. All bills are kept by the player. Determine: A, the probability of winning $10. B, the probability of winning all bills in the urn. C, the probability of the game stopping at the second draw. An urn contains 3 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 $10 bill is drawn. then the game stops. All bills are kept by the player. Determine: A, the probability of winning $10. B, the probability of winning all bills in the urn. C, the probability of the game stopping at the second draw. A, the probability of winning $10. B, the probability of winning all bills in the urn. C, the probability of the game stopping at the second draw.

Explanation / Answer

(A) The probability of winning $10
How?:

Directly $10
Probability: (1/5)

(B) The probability of winning all bills in the urn.

: not 10, then not 10, then not ten, then not ten,then 10

Probability:

= (4/5)(3/4)(2/3)(1/2) *1
= 1/5

(c) The probability of the game stopping at the second draw.

Anything but 10 followed by 10

Probability: (4/5)(1/4) = 1/5

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