Three People In A Room
Three people enter a room and have a green or blue hat placed on their head. They cannot see their own hat, but can see the other hats.
The color of each hat is purely random. They could all be green, or blue, or any combination of green and blue.
They need to guess their own hat color by writing it on a piece of paper, or they can write 'pass'.
They cannot communicate with each other in any way once the game starts. But they can have a strategy meeting before the game.
If at least one of them guesses correctly they win $50,000 each, but if anyone guess incorrectly they all get nothing.
What is the best strategy?
The color of each hat is purely random. They could all be green, or blue, or any combination of green and blue.
They need to guess their own hat color by writing it on a piece of paper, or they can write 'pass'.
They cannot communicate with each other in any way once the game starts. But they can have a strategy meeting before the game.
If at least one of them guesses correctly they win $50,000 each, but if anyone guess incorrectly they all get nothing.
What is the best strategy?
Hint:
Simple strategy: Elect one person to be the guesser, the other two pass. The guesser chooses randomly 'green' or 'blue'. This gives them a 50% chance of winning.
Better strategy: If you see two blue or two green hats, then write down the opposite color, otherwise write down 'pass'.
It works like this ('-' means 'pass'):
Hats: GGG, Guess: BBB, Result: Lose
Hats: GGB, Guess: --B, Result: Win
Hats: GBG, Guess: -B-, Result: Win
Hats: GBB, Guess: G--, Result: Win
Hats: BGG, Guess: B--, Result: Win
Hats: BGB, Guess: -G-, Result: Win
Hats: BBG, Guess: --G, Result: Win
Hats: BBB, Guess: GGG, Result: Lose
Result: 75% chance of winning! Did you answer this riddle correctly?
YES NO
Better strategy: If you see two blue or two green hats, then write down the opposite color, otherwise write down 'pass'.
It works like this ('-' means 'pass'):
Hats: GGG, Guess: BBB, Result: Lose
Hats: GGB, Guess: --B, Result: Win
Hats: GBG, Guess: -B-, Result: Win
Hats: GBB, Guess: G--, Result: Win
Hats: BGG, Guess: B--, Result: Win
Hats: BGB, Guess: -G-, Result: Win
Hats: BBG, Guess: --G, Result: Win
Hats: BBB, Guess: GGG, Result: Lose
Result: 75% chance of winning! Did you answer this riddle correctly?
YES NO
Bad Grades Firefly Riddle
Hint:
Scratch My Head, See Me Turn From Black To Red
Hint:
A Head But No Body Riddle
Hint:
Scold The Earth Riddle
Hint:
Buys A Firework Riddle
Hint:
Look at debits and credits from his wallet:
buy Firework: -60
sell Firework: +70
buy Firework: -80
sell Firework: +90
+20
He profited $20 Did you answer this riddle correctly?
YES NO
buy Firework: -60
sell Firework: +70
buy Firework: -80
sell Firework: +90
+20
He profited $20 Did you answer this riddle correctly?
YES NO
I Eat I Live I Breathe I Live I Drink What Am I Riddle
Hint:
You Enter A Bedroom There Are 34 People Riddle
Hint:
5
You walked into the room which added 1 + 34 = 35
Then you take away 30 from 35 = 5 Did you answer this riddle correctly?
YES NO
You walked into the room which added 1 + 34 = 35
Then you take away 30 from 35 = 5 Did you answer this riddle correctly?
YES NO
Alive As You But Without Breath Riddle
As cold in my life as in my death;
Never a thirst though I always drink,
Dressed in a mail but never a clink.
I am a?
Hint:
The Same Birthday
How many people do you need to have the odds be in favor (at least 50% chance) of two people having the same birthday?
Hint:
Bus Driver Eyes
Hint:
The eye color of the reader of this problem. The first sentence is the key: "You are the bus driver". Did you answer this riddle correctly?
YES NO
YES NO
In A Basket All Alone Riddle
Once a little babe was drifting
In a basket all alone,
When the king's fair daughter found him-
Wished to have him for her own.
So she found the baby's mother
For his nurse that very day
But when he had grown to manhood,
He his people led away.
Who was he?
In a basket all alone,
When the king's fair daughter found him-
Wished to have him for her own.
So she found the baby's mother
For his nurse that very day
But when he had grown to manhood,
He his people led away.
Who was he?
Hint:
Lakes And Boats Riddle
There is a lake with shores A and B. Two motorboats M and N are standing on the opposite sides (A and B respectively). M leaves A and N leaves B and start moving with constant speeds. They meet for the first time 500 yards away from A. After touching the shores, they return back to the previous shore point without taking any break. This time they meet at 300 yards away from B.
Can you determine how wide the lake is? What is the relation between the speeds of boats?
Can you determine how wide the lake is? What is the relation between the speeds of boats?
Hint:
When the boats meet for the first time, they have sailed a combined distance that is equal to one length of the lake. When they meet the second time, they have sailed 3 lengths. The elapsed time and the distance for each is three times.
When they meet for the second time, the boat M has sailed 500 x 3 = 1500 yards. Now, this is 300 yards longer than the length of the lake, it must be 1200 yards wide.
The ration between the speed of boat M and boat N is equal to the ratio of the distance that they have sailed before they meet the first time. Did you answer this riddle correctly?
YES NO
When they meet for the second time, the boat M has sailed 500 x 3 = 1500 yards. Now, this is 300 yards longer than the length of the lake, it must be 1200 yards wide.
The ration between the speed of boat M and boat N is equal to the ratio of the distance that they have sailed before they meet the first time. Did you answer this riddle correctly?
YES NO
A Goat, A Wolf, And A Head Of Cabbage
A man has a goat, a wolf, and a head of cabbage. He comes to a river that has no bridge, but a small boat to cross the river. The boat can hold only one of the three things he has. If he takes over the wolf first, the goat will eat the cabbage. If he take over the cabbage first, the wolf will eat the goat.
How does he solve the problem?
How does he solve the problem?
Hint:
First, he takes over the goat. Then, he takes over the cabbage, but takes the goat back. Then, he takes over the wolf. Finally, he takes over the goat again. Did you answer this riddle correctly?
YES NO
YES NO
A Place Of Prayer
I was appointed but wasn't expected
I swallowed whole what I did not eat
I was a place of prayer out of sight
And when I was sick, God approved!
I am in the Bible - what am I?
I swallowed whole what I did not eat
I was a place of prayer out of sight
And when I was sick, God approved!
I am in the Bible - what am I?
Hint: Jonah 1 and 2
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