SOLUTION: A. A fair coin is tossed THREE times. What is the probability that you get at least ONE tail? B. What is the probability that you are dealt a poker hand contains all FACE card

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Question 173102: A. A fair coin is tossed THREE times. What is the probability that you get at least ONE tail?
B. What is the probability that you are dealt a poker hand contains all FACE cards ( i.e. KING, QUEEN, JACK)?

Found 2 solutions by checkley77, stanbon:
Answer by checkley77(12844) (Show Source):
You can put this solution on YOUR website!
1--2--3 tosses.
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t--t--t
t--t--h
t--h--h
t--h--t
h--t--t
h--h--t
h--h--h
h--t--h
Looks like 7 out of 8 will have at least one t.

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
A. A fair coin is tossed THREE times. What is the probability that you get at least ONE tail?
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P(at least one tail) + P(no tails) = 1
P(at least one tail) = 1 - P(no tails)
P(at least one tail) = 1 - (1/2)^3 = 1-(1/8) = 7/8
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B. What is the probability that you are dealt a poker hand contains all FACE cards ( i.e. KING, QUEEN, JACK)?
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There are 4*4= 16 face cards in the deck of 52 cards
# of ways to succeed is 16C5 = 4368
# of possible hands is 52C5 = 2598960
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There P(all face in hand of 5) = 4368/2598960 = 0.0016807...
Cheers,
Stan H.