An urn contains 2 one dollar bills, 1 five dollar bill and one $10 bill. A playe

Question

An urn contains 2 one dollar bills, 1 five dollar bill and one $10 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 2 one dollar bills, 1 five dollar bill and one $10 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.

Explanation / Answer

Given is one 10 dollar bill

Total no. of dollar bills = 4

So, probability of winning $10 = 1/4
(The only way to win exactly $10 is to draw it on the first draw)

B) Probability of winning all bills in urn = 1 - not winnig all bills in urn.

   not winning 10bills in urn. = ( 1 - 1/4) , then not 10, then not 10 , then 10
Probability: (1-(1/4)) * (1-(1/3)) * (1-(1/2))
= (3/4) * (2/3) * (1/2)
= 1/4

C) The probability of game stopping at the second draw is anything but 10 followed by 10

Probability: (3/4) * (1/3) = 1/4

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