A DOCTOR AND A BUS FRIEND THEN HE DECIDED TO PL RIDDLES WITH ANSWERS TO SOLVE - PUZZLES & BRAIN TEASERS

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. Did you answer this riddle correctly?
YES  NO  

A stable Did you answer this riddle correctly?
YES  NO  

Because they're always peaking. Did you answer this riddle correctly?
YES  NO  

On a tele-bone! Did you answer this riddle correctly?
YES  NO  

Because it was an oddball out Did you answer this riddle correctly?
YES  NO  

He made his home run Did you answer this riddle correctly?
YES  NO  

Racket-ball Did you answer this riddle correctly?
YES  NO  

"Be careful - it's a jungle out there." Did you answer this riddle correctly?
YES  NO  

He stole third base and then went home. Did you answer this riddle correctly?
YES  NO  

A football player has a whole uniform, but a dog only pants. Did you answer this riddle correctly?
YES  NO  

Alan fires his bullet from a .25 ACP (Automatic Colt Pistol), which will reach a maximum height of 2,287 feet. He shoots directly upward while standing at the base of Burj Khalifa, a 2,722 foot tall building.

Wade is a window cleaner at that building, waiting at 2,287 feet. When the bullet reaches that height and is about to go back down again, he reaches out with his bare hands and catches it. Did you answer this riddle correctly?
YES  NO  

Lead. Lead is a metallic gray, is very heavy and in order to stay ahead of someone, you need to be in the lead. Did you answer this riddle correctly?
YES  NO  

They might get caught in the net! Did you answer this riddle correctly?
YES  NO  

You give the car to your best friend. He takes the lady to the hospital in your car. You wait with the woman of your dreams until your friend comes back in his van which can carry 5 people. Then you leave before the hurricane comes. Did you answer this riddle correctly?
YES  NO  

3, 3, and 8. The only groups of 3 factors of 72 to have non-unique sums are 2 6 6 and 3 3 8 (with a sum of 14). The rest have unique sums:

2 + 2 + 18 = 22
2 + 3 + 12 = 18
2 + 4 + 9 = 15
3 + 4 + 6 = 13

The house number alone would have identified any of these groups. Since more information was required, we know the sum left the answer unknown. The presence of a single oldest child eliminates 2 6 6, leaving 3 3 8 as the only possible answer. Did you answer this riddle correctly?
YES  NO