Under The Cup Riddle
You decide to play a game with your friend where your friend places a coin under one of three cups. Your friend would then switch the positions of two of the cups several times so that the coin under one of the cups moves with the cup it is under. You would then select the cup that you think the coin is under. If you won, you would receive the coin, but if you lost, you would have to pay.
As the game starts, you realise that you are really tired, and you don't focus very well on the moving of the cups. When your friend stops moving the cups and asks you where the coin is, you only remember a few things:
He put the coin in the rightmost cup at the start.
He switched two of the cups 3 times.
The first time he switched two of the cups, the rightmost one was switched with another.
The second time he switched two of the cups, the rightmost one was not touched.
The third and last time he switched two of the cups, the rightmost one was switched with another.
You don't want to end up paying your friend, so, using your head, you try to work out which cup is most likely to hold the coin, using the information you remember.
Which cup is most likely to hold the coin?
As the game starts, you realise that you are really tired, and you don't focus very well on the moving of the cups. When your friend stops moving the cups and asks you where the coin is, you only remember a few things:
He put the coin in the rightmost cup at the start.
He switched two of the cups 3 times.
The first time he switched two of the cups, the rightmost one was switched with another.
The second time he switched two of the cups, the rightmost one was not touched.
The third and last time he switched two of the cups, the rightmost one was switched with another.
You don't want to end up paying your friend, so, using your head, you try to work out which cup is most likely to hold the coin, using the information you remember.
Which cup is most likely to hold the coin?
Hint: Write down the possibilities. Remember that there are only three cups, so if the rightmost cup wasn't touched...
The rightmost cup.
The rightmost cup has a half chance of holding the coin, and the other cups have a quarter chance.
Pretend that Os represent cups, and Q represents the cup with the coin.
The game starts like this:
OOQ
Then your friend switches the rightmost cup with another, giving two possibilities, with equal chance:
OQO
QOO
Your friend then moves the cups again, but doesn't touch the rightmost cup. The only switch possible is with the leftmost cup and the middle cup. This gives two possibilities with equal chance:
QOO
OQO
Lastly, your friend switches the rightmost cup with another cup. If the first possibility shown above was true, there would be two possibilities, with equal chance:
OOQ
QOO
If the second possibility shown above (In the second switch) was true, there would be two possibilities with equal chance:
OOQ
OQO
This means there are four possibilities altogether, with equal chance:
OOQ
QOO
OOQ
OQO
This means each possibility equals to a quarter chance, and because there are two possibilities with the rightmost cup having the coin, there is a half chance that the coin is there. Did you answer this riddle correctly?
YES NO
The rightmost cup has a half chance of holding the coin, and the other cups have a quarter chance.
Pretend that Os represent cups, and Q represents the cup with the coin.
The game starts like this:
OOQ
Then your friend switches the rightmost cup with another, giving two possibilities, with equal chance:
OQO
QOO
Your friend then moves the cups again, but doesn't touch the rightmost cup. The only switch possible is with the leftmost cup and the middle cup. This gives two possibilities with equal chance:
QOO
OQO
Lastly, your friend switches the rightmost cup with another cup. If the first possibility shown above was true, there would be two possibilities, with equal chance:
OOQ
QOO
If the second possibility shown above (In the second switch) was true, there would be two possibilities with equal chance:
OOQ
OQO
This means there are four possibilities altogether, with equal chance:
OOQ
QOO
OOQ
OQO
This means each possibility equals to a quarter chance, and because there are two possibilities with the rightmost cup having the coin, there is a half chance that the coin is there. Did you answer this riddle correctly?
YES NO
Participating In A Race
Hint: It's not first place.
If you answer that you are first, then you are absolutely wrong! If you overtake the second person and you take his place, you are second! Did you answer this riddle correctly?
YES NO
YES NO
Stuck With Me Forever Riddle
Your finger fits right in it. You play with it when you're bored. Once you're married, you're stuck with the same one forever. What is it?
Hint:
Dogs In The Snow Riddle
Hint:
Through The Hoop Riddle
Hint:
Cow Instrument Riddle
Hint:
No Cards In The Jungle
Hint:
Basketball Pig Riddle
Hint:
Lightening Sports Riddle
Hint:
A Man Found Dead Riddle
A man was found dead in his study. He was slumped over his desk and a gun was in his hand. There was a cassette recorder on his desk. When the police entered the room and pressed the play button on the tape recorder they heard: I cant go on. I have nothing to live for. Then there was the sound of a gunshot.
How did the detective immediately know that the man had been murdered and it wasnt a suicide?
How did the detective immediately know that the man had been murdered and it wasnt a suicide?
Hint:
Sand Piles Riddle
Hint:
Soldiers Across A River
A detachment of soldiers must cross a river. The bridge is broken, the river is deep. What to do?
Suddenly the officer in charge spots two boys playing in a row boat by the shore.
The boat is so tiny however, that is could only hold two boys or one soldier.
Still all the soldiers make it across the river in the boat. How?
Suddenly the officer in charge spots two boys playing in a row boat by the shore.
The boat is so tiny however, that is could only hold two boys or one soldier.
Still all the soldiers make it across the river in the boat. How?
Hint:
First the boys cross the river and 1 boy comes back and gets a soldier and keeps going back until all the soldiers have made it across safely. Did you answer this riddle correctly?
YES NO
YES NO
Cards On The Ark Riddle
Hint:
Two Men Tennis Riddle
How can this be possible?
Hint:
Cinderella Soccer Riddle
Hint:
Add Your Riddle Here
Have some tricky riddles of your own? Leave them below for our users to try and solve.