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Russian Roulette Riddle

Hint:
Russian Roulette
Probability puzzles require you to weigh all the possibilities and pick the most likely outcome.


Puzzle ID: #17681
Fun: *** (2.59)
Difficulty: ** (2.07)
Category: Probability
Submitted By: JMCLEOD****
Corrected By: cnmne








You are in a game of Russian Roulette with a revolver that has 3 bullets placed in three consecutive chambers. The cylinder of the gun will be spun once at the beginning of the game. Then, the gun will be passed between two players until it fires. Would you prefer to go first or second?


Answer
Label the chambers 1 through 6. Chambers 1 through 3 have bullets and chambers 4 through 6 are empty. After you spin the cylinder there are six possible outcomes:

1. Chamber 1 is fired first: Player 1 loses
2. Chamber 2 is fired first: Player 1 loses
3. Chamber 3 is fired first: Player 1 loses
4. Chamber 4 is fired first: Player 2 loses (First shot, player 1, chamber 4 empty. Second shot player 2, chamber 5, empty. Third shot player 1, chamber 6 empty. Fourth shot player 2, chamber 1 not empty.)
5. Chamber 5 is fired first: Player 1 loses (First shot, player 1, chamber 5 empty. Second shot player 2, chamber 6, empty. Third shot player 1, chamber 1 not empty.)
6. Chamber 6 is fired first: Player 2 loses (First shot, player 1, chamber 6 empty. Second shot, player 2, chamber 1, not empty)

Therefore player 2 has an 4/6 or 2/3 chance of winning.
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The Prime Number Riddle

Hint: Remember that 1 is not a prime number.
Those that remain behind must have written {1,4,6,8,9} and from this only {1,9} are odd. The probability of an odd number is thus 2/5.
Expected number of odds is 2/5 * 90 = 36
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2 Fathers And 2 Sons Riddle

Hint:
One of the 'fathers' is also a grandfather. Therefore the other father is both a son and a father to the grandson.

In other words, the one father is both a son and a father.
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Cowboy Rides Into Town On Friday

Hint:
The horse's name is Friday
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Sex Of A Chromosome

Hint:
Pull down its genes.
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The Savage Sister Riddle

Hint:
The sisters are Siamese twins.
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Always Riding Piggy Back Riddle

Hint:
A backpack.
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The Dentist's Son Riddle

Hint:
The dentist was the boy's mother.
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Floor Math Riddle

Hint:
The teacher told her not to use tables!)
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The Protector Of Rain

Hint:
An umbrellaphant!
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On Top A Joppa House Riddle

Hint:
Peter
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Bliss To Two Riddle

Hint:
A kiss.
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A Painters Love Riddle

Hint:
I love you with all my art.
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Egg In A Glass Riddle

Hint: Without doing anything to the egg, the egg can't fit into the bottle
First, soak the egg in the vinegar which softens the shell without compromising the egg. Next, take some of the writing paper and shred it into pieces. Take the shredded pieces and put them into the glass bottle. Take a match and light a fire inside the bottle with the shredded paper. After, take the vinegar-soaked egg and put it on the top of the bottle so no oxygen can get into the bottle. The fire can't live without any oxygen so it will try to suck oxygen from the entrance which the egg is blocking. When the fire does this, the fire becomes like a vacuum. So, basically, the fire sucks the egg into the bottle to try to get the oxygen. After a short while, the shell will reharden and that's how the egg got into the bottle.
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Not A Fairground Ride

Hint:
Earth
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