A Hat Riddles To Solve
Solving A Hat Riddles
Here we've provide a compiled a list of the best a hat puzzles and riddles to solve we could find.Our team works hard to help you piece fun ideas together to develop riddles based on different topics. Whether it's a class activity for school, event, scavenger hunt, puzzle assignment, your personal project or just fun in general our database serve as a tool to help you get started.
Here's a list of related tags to browse: Hat Riddles Long Riddles Hat Riddles Friday The 13th Riddles Water Riddles Rain Riddles Daily Riddles Probability Riddles Secret Santa Riddles
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Prisoner Hat Riddle
There is a wall between prisoners C and D (which cannot be seen through or around). Prisoner A can see prisoners B and C (by moving his head to the side). Prisoner B can see prisoner C. Prisoners C and D see only the wall.
The prisoners are immobilized in the ground and can't twist their body to see the person behind them. The warden shows them two black hats and two white hats and then puts the hats in a bag to conceal them. He then stands behind each prisoner, chooses a hat from the bag, and puts it on their head. The color of each prisoner's hat is shown in the image above.
The rules are simple. If any prisoner can figure out the color of the hat on his head, all four prisoners will be set free. But they must be sure, if one of them simply guesses and is wrong, they will all be shot dead! The prisoners are not allowed to talk to each other and they have 10 seconds.
The warden counts down "ten, nine, eight, seven". All four prisoners are silent. The warden smiles, knowing that he put the hats on in such a way that no prisoner could possibly know the color of the hat they had on. He continues "six, five, four, thr.."
"I know the color of my hat!" one of the prisoners finally blurts out.
Which prisoner called out and why is he 100% certain of the color of his hat?
Hint:
Prisoner B.
If prisoners B and C had the same color hat on, prisoner A would have know immediately that his hat was the other color (there are only two hats of each color). Since prisoner A was silent, prisoners B and C must have different colored hats. Prisoner B realized this and knew that his hat was not the same color as prisoner C, therefore his hat must be black! Did you answer this riddle correctly?
YES NO
If prisoners B and C had the same color hat on, prisoner A would have know immediately that his hat was the other color (there are only two hats of each color). Since prisoner A was silent, prisoners B and C must have different colored hats. Prisoner B realized this and knew that his hat was not the same color as prisoner C, therefore his hat must be black! Did you answer this riddle correctly?
YES NO
Freddy Krueger Wear A Hat Riddle
Hint:
A Man Was Outside Taking A Walk When It Began To Rain
A man was outside taking a walk when it began to rain. He did not have an umbrella and he wasn't wearing a hat. His clothes were soaked, yet not a single hair on his head got wet. How could this happen?
Hint:
The Secret Santa Exchange
A group of ten friends decide to exchange gifts as secret Santas. Each person writes his or her name on a piece of paper and puts it in a hat. Then each person randomly draws a name from the hat to determine who has him as his or her secret Santa. The secret Santa then makes a gift for the person whose name he drew.
When it's time to exchange presents, each person walks over to the person he made the gift for and holds his or her left hand in his right hand.
What is the probability that the 10 friends holding hands form a single continuous circle?
When it's time to exchange presents, each person walks over to the person he made the gift for and holds his or her left hand in his right hand.
What is the probability that the 10 friends holding hands form a single continuous circle?
Hint: It's not as difficult as it seems.
It's the number of ways the friends can form a circle divided by the number of ways the names can be drawn out of the hat.
1/10
For a group of n friends, there are n! (n factorial) ways to draw the names out of the hat. Since a circle does not have a beginning and end, choose one person as the beginning and end of the circle. There are now (n-1)! ways to distribute the remaining people around the circle. Thus the probability of forming a single circle is
(n-1)! / n!
Since n! = (n-1)! * n (for n > 1), this can be rewritten as
(n-1)! / (n*(n-1)!)
Factoring out the (n-1)! from the numerator and denominator leaves
1/n
as the probability. Did you answer this riddle correctly?
YES NO
For a group of n friends, there are n! (n factorial) ways to draw the names out of the hat. Since a circle does not have a beginning and end, choose one person as the beginning and end of the circle. There are now (n-1)! ways to distribute the remaining people around the circle. Thus the probability of forming a single circle is
(n-1)! / n!
Since n! = (n-1)! * n (for n > 1), this can be rewritten as
(n-1)! / (n*(n-1)!)
Factoring out the (n-1)! from the numerator and denominator leaves
1/n
as the probability. Did you answer this riddle correctly?
YES NO
A Hat Of Great Value
I am a homograph for something used to measure, the weakest in chess but strongest in checkers. Upon my head is a hat of great value. What am I?
Hint:
Walking In The Rain
Samuel was out for a walk when it started to rain. He did not have an umbrella and he wasn't wearing a hat. His clothes were soaked, yet not a single hair on his head got wet. How could this happen?
Hint:
Basket Full Of Hats
There is a basket full of hats. 3 of them are white and 2 of them are black. There are 3 men Tom, Tim, and Jim. They each take a hat out of the basket and put it on their heads without seeing the hat they selected or the hats the other men selected. The men arrange themselves so Tom can see Tim and Jim's hats, Tim can see Jim's hat, and Jim can't see anyone's hat.
Tom is asked what color his hat is and he says he doesn't know.
Tim is asked the same question, and he also doesn't know.
Finally, Jim is asked the question, and he does know.
What color is his hat?
Tom is asked what color his hat is and he says he doesn't know.
Tim is asked the same question, and he also doesn't know.
Finally, Jim is asked the question, and he does know.
What color is his hat?
Hint:
The hat is white. If Tom doesn't know his hat color then the other two men's hats cannot be both black otherwise he would know his is white. When Tim doesn't know his hat color either, that means Jim's hat could not be black otherwise Tim would have to know his hat was white to fulfill the information discovered through Tom's answer. Did you answer this riddle correctly?
YES NO
YES NO
Five Bridesmaids Riddle
Five bridesmaids threw a shower for their bride. Each brought a gift and made a favorite food of the bride. They all arrived at different times, and during the wedding each was wearing a different color of her choice. Determine the gift and food each bridesmaid brought, the time she arrived, and what color she chose for her dress.
1. The bridesmaid with the painting had trouble getting it in her car, and the bridesmaid with the potato salad got lost on the way, so they were the last two to arrive.
2. Amanda hated the color green and potato salad.
3. Kourtney and Selena did not wear the blue dress and did not bring the turkey sandwiches.
4. Stacie arrived before the bridesmaid with the painting, but after the bridesmaid who brought the sheets, and the bridesmaid who made the cheese dip.
5. The bridesmaid with a blue dress arrived 10 minutes before the bridesmaid who brought the sandwiches.
6. The bridesmaid with the veggie tray arrived 25 minutes after the bridesmaid who brought flatware, but before the bridesmaid who would be wearing a blue dress.
7. The five bridesmaids arrived in the following order: The one who baked the cake, Amanda, the one who would be wearing a yellow dress, the one with a toaster for a gift, and the one who arrived last.
8. Selena brought a cake with green frosting, the same color as her dress.
9. Amanda brought pink sheets as a gift to the bride, but she did not like pink for herself.
1. The bridesmaid with the painting had trouble getting it in her car, and the bridesmaid with the potato salad got lost on the way, so they were the last two to arrive.
2. Amanda hated the color green and potato salad.
3. Kourtney and Selena did not wear the blue dress and did not bring the turkey sandwiches.
4. Stacie arrived before the bridesmaid with the painting, but after the bridesmaid who brought the sheets, and the bridesmaid who made the cheese dip.
5. The bridesmaid with a blue dress arrived 10 minutes before the bridesmaid who brought the sandwiches.
6. The bridesmaid with the veggie tray arrived 25 minutes after the bridesmaid who brought flatware, but before the bridesmaid who would be wearing a blue dress.
7. The five bridesmaids arrived in the following order: The one who baked the cake, Amanda, the one who would be wearing a yellow dress, the one with a toaster for a gift, and the one who arrived last.
8. Selena brought a cake with green frosting, the same color as her dress.
9. Amanda brought pink sheets as a gift to the bride, but she did not like pink for herself.
Hint:
Selena; green; flatware; cake; 2:50
Amanda; purple; sheets; veggie tray; 3:15
Kourtney; yellow; towels; cheese dip; 3:20
Stacie; blue; toaster; potato salad; 3:35
Stephanie; pink; painting; turkey sandwiches; 3:45 Did you answer this riddle correctly?
YES NO
Amanda; purple; sheets; veggie tray; 3:15
Kourtney; yellow; towels; cheese dip; 3:20
Stacie; blue; toaster; potato salad; 3:35
Stephanie; pink; painting; turkey sandwiches; 3:45 Did you answer this riddle correctly?
YES NO
A Walk In The Desert Riddle
Four men walk into the desert. Suddenly all four are simultaneously knocked out. They awake buried to their heads in the sand unable to look anywhere but straight ahead. They are positioned so that each man sees another's head before him. However between the first and second man there is a separating wall.
So the first man sees only desert. The second man sees only wall. The third man sees another's head and a wall. The fourth man sees two heads and a wall. On top of each mans head is a hat. The underside of each cap is black, but the outside of each cap is either blue or white. Before any of the men can speak, their captors tell them if they speak, they die. However, if any of them can guess the color of their cap on the first try they go free. The captors tell them that there are two blue caps and two white caps.
Being an omniscient observer of the situation, we know that the order of the caps are: blue, white, blue, white. So knowing the perspective of each man in the sand, and that they can only see the color of caps/wall/desert in front of them, which of the four men knows for certain the color of his own cap. More importantly: why?
So the first man sees only desert. The second man sees only wall. The third man sees another's head and a wall. The fourth man sees two heads and a wall. On top of each mans head is a hat. The underside of each cap is black, but the outside of each cap is either blue or white. Before any of the men can speak, their captors tell them if they speak, they die. However, if any of them can guess the color of their cap on the first try they go free. The captors tell them that there are two blue caps and two white caps.
Being an omniscient observer of the situation, we know that the order of the caps are: blue, white, blue, white. So knowing the perspective of each man in the sand, and that they can only see the color of caps/wall/desert in front of them, which of the four men knows for certain the color of his own cap. More importantly: why?
Hint:
The third man. This is because he knows there are only two of each color cap. If the man behind him (the fourth man) saw two caps that were the same color in front of him, he would know that his own must be the opposite. However, because the caps alternate in color. The fourth man has only a 50% chance of getting his hat color correct, so therefore he stays quiet. The third man realizes that the fourth man is quiet because he must not see two caps of the same color in front of him, otherwise the fourth man would say the opposite of the caps in front of him. Therefore, the third man presumes his own cap must be the opposite of the mans in front of him, and his presumption is correct. Under this same logic, after the third man speaks his color hat, the second man, even though he sees only wall, would be the next to go free, because he knows his cap must be the opposite of whichever color the third mans cap was. Did you answer this riddle correctly?
YES NO
YES NO
Captured By The Riddler
In the land of Geopolizza, three men were captured by the infamous Riddler. So, the Riddler buries the three men, named 1, 2 and 3 in such a manner, that 1 is in the front, 2 in the middle and 3 in the back. They are buried neck deep, and cannot move, not even their heads. He shows them 5 caps, two of which are red and 3 of them are white. He then switches off the lights and places a hat on top of their heads. The situation is such that no one can see their hat color, 1 is facing the wall and cant say anything, 2 can see 1 and 3 can see both 1 and 2. Then he tells the rules of his game: "If either of you three can tell the correct color of your head, I will let all of you go. However, if any of you answer wrong, all 3 of you will instantly die. Time is 3 minutes."
Upon 2 and half minutes passing, A shouts the answer and all 3 are released free. How did he know the correct answer ?
Upon 2 and half minutes passing, A shouts the answer and all 3 are released free. How did he know the correct answer ?
Hint:
P3 can only be certain of his cap if 1 & 2 are both white. Since he is not certain then 1 & 2 must be either white/red or red/red. 2 knows this but the only combination that he will be able to know the colour of his own cap is if he sees that 1 is wearing a white cap. 1 knows this but as 2 remains uncertain then 1 must be wearing a red cap. Did you answer this riddle correctly?
YES NO
YES NO
Hang A Hat On It Riddle
Hint:
Something To Mourn Riddle
I was a gift to the one but poison to the others
I was a favoured sign but also a hated symbol
Some say that of many I was not short
While others talk of two that were far too long
I was stolen and then torn
And became something to mourn
What am i?
I was a favoured sign but also a hated symbol
Some say that of many I was not short
While others talk of two that were far too long
I was stolen and then torn
And became something to mourn
What am i?
Hint: Genesis 37
Gift To One, Poison To Others
I was a gift to the one but poison to the others
I was a favored sign but also a hated symbol
Some say that of many I was not short
While others talk of two that were far too long
I was stolen and then torn
And became something to mourn
I am in the Bible - what am I?
I was a favored sign but also a hated symbol
Some say that of many I was not short
While others talk of two that were far too long
I was stolen and then torn
And became something to mourn
I am in the Bible - what am I?
Hint: Genesis 37
A Walk In The Rain Riddle
Hint:
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