The Gardners Riddle
Gretchen and Henry were discussing their new neighbors, the Gardners. Gretchen mentioned that she met two of the daughters, and they each had blond hair.
"I have met all of the sisters," replied Henry, "and the probability that both of the girls you met would have had blond hair, assuming you were equally likely to meet any of the sisters, is exactly 50%. Do you know how many children there are?"
After thinking for a minute, Gretchen asks if the family is abnormally large. When Henry replies that it is not, Gretchen tells him how many girls are in the family. What number did she say?
"I have met all of the sisters," replied Henry, "and the probability that both of the girls you met would have had blond hair, assuming you were equally likely to meet any of the sisters, is exactly 50%. Do you know how many children there are?"
After thinking for a minute, Gretchen asks if the family is abnormally large. When Henry replies that it is not, Gretchen tells him how many girls are in the family. What number did she say?
Hint:
Gretchen said that there were 4 girls in the family, three of whom were blond.
This would make the probability that she saw two blonds (3/4) * (2/3), which equals 1/2.
Other numbers would work, but the next pair would lead to a rather large family. Did you answer this riddle correctly?
YES NO
This would make the probability that she saw two blonds (3/4) * (2/3), which equals 1/2.
Other numbers would work, but the next pair would lead to a rather large family. Did you answer this riddle correctly?
YES NO
The Coin Toss Riddle
You are in a bar having a drink with an old friend when he proposes a wager.
"Want to play a game?" he asks.
"Sure, why not?" you reply.
"Ok, here's how it works. You choose three possible outcomes of a coin toss, either HHH, TTT, HHT or whatever. I will do likewise. I will then start flipping the coin continuously until either one of our combinations comes up. The person whose combination comes up first is the winner. And to prove I'm not the cheating little weasel you're always making me out to be, I'll even let you go first so you have more combinations to choose from. So how about it? Is $10.00 a fair bet?"
You know that your friend is a skilled trickster and usually has a trick or two up his sleeve but maybe he's being honest this time. Maybe this is a fair bet. While you try and think of which combination is most likely to come up first, you suddenly hit upon a strategy which will be immensely beneficial to you. What is it?
"Want to play a game?" he asks.
"Sure, why not?" you reply.
"Ok, here's how it works. You choose three possible outcomes of a coin toss, either HHH, TTT, HHT or whatever. I will do likewise. I will then start flipping the coin continuously until either one of our combinations comes up. The person whose combination comes up first is the winner. And to prove I'm not the cheating little weasel you're always making me out to be, I'll even let you go first so you have more combinations to choose from. So how about it? Is $10.00 a fair bet?"
You know that your friend is a skilled trickster and usually has a trick or two up his sleeve but maybe he's being honest this time. Maybe this is a fair bet. While you try and think of which combination is most likely to come up first, you suddenly hit upon a strategy which will be immensely beneficial to you. What is it?
Hint: Think what would be most likely to happen if you chose HHH, would this be a good decision?
The answer is to let your friend go first. This puzzle is based on an old game/scam called Penny Ante. No matter what you picked, your friend would be able to come up with a combination which would be more likely to beat yours. For example, if you were to choose HHH, then unless HHH was the first combination to come up you would eventually lose since as soon as a Tails came up, the combination THH would inevitably come up before HHH. The basic formula you can use for working out which combination you should choose is as follows. Simply take his combination (eg. HHT) take the last term in his combination, put it at the front (in this case making THH) and your combination will be more likely to come up first. Try it on your friends! Did you answer this riddle correctly?
YES NO
YES NO
Blue Eyes Riddle
Both of my parents have brown eyes, as do I. My brother and my wife have blue eyes. Using the simple brown-blue model (two genes; a brown gene dominates blue gene), what are the chances of my first child having blue eyes?
Hint: Given my brother's blue eyes, what are the odds on my pair of eye-color genes?
1 in 3.
Since my brother has blue eyes (bb), both of my parents carry one brown and one blue gene (Bb). The three possibilities for my genotype, equally likely, are BB, Bb, and bB. Thus, there is a 2/3 chance that I carry a blue gene.
If I carry a blue gene, there is a 50% chance I will pass it on to my first child (and, obviously, 0% if I carry two brown genes).
Since my child will certainly get a blue gene from my wife, my gene will determine the eye color.
Multiplying the probabilities of those two independent events, there is a chance of 1/2 x 2/3 = 1/3 of my passing on a blue gene. Did you answer this riddle correctly?
YES NO
Since my brother has blue eyes (bb), both of my parents carry one brown and one blue gene (Bb). The three possibilities for my genotype, equally likely, are BB, Bb, and bB. Thus, there is a 2/3 chance that I carry a blue gene.
If I carry a blue gene, there is a 50% chance I will pass it on to my first child (and, obviously, 0% if I carry two brown genes).
Since my child will certainly get a blue gene from my wife, my gene will determine the eye color.
Multiplying the probabilities of those two independent events, there is a chance of 1/2 x 2/3 = 1/3 of my passing on a blue gene. Did you answer this riddle correctly?
YES NO
Exposed To A Disease Riddle
A boy and his father have been exposed to a disease. Sadly, the father rapidly develops a tumor and dies. The boy survives, but desperately needs an operation and is rushed to hospital. A surgeon is called. Upon entering the room and seeing the patient, the surgeon exclaims, Oh no! I cant do the operation. Thats my son!
Hint:
Egg Yolk Riddle
Hint:
True Color Of Red
It is cold and it is hot
it is white and it is dark
it is stone and it is wax
it's true nature is of flesh
and it's color is red
What is it?
it is white and it is dark
it is stone and it is wax
it's true nature is of flesh
and it's color is red
What is it?
Hint:
Different Shapes And Sizes
I'm white but I'm not a sheet of paper
I come in different shapes and sizes but I'm not a snowflake
I can be broken but Im not a window
I can be brittle but Im not peanut butter
I'm sometimes humerus but Im not funny
I am?
I come in different shapes and sizes but I'm not a snowflake
I can be broken but Im not a window
I can be brittle but Im not peanut butter
I'm sometimes humerus but Im not funny
I am?
Hint:
The Sinking Boat Riddle
Hint:
Born In London Riddle
Simon Simpleton was born in London, England.
His mother was Welsh and his father Scottish.
When Simon was eight his mother died.
When Simon was ten his father married an Irish women and suddenly Simon had an Irish sister.
When Simon was twenty four he graduated as a lawyer and took a job in Edinburgh, Scotland.
He is now sixty six.
Why can he not be buried on the banks of Loch Lomond in his favorite village of Luss, in Bonnie Scotland?
His mother was Welsh and his father Scottish.
When Simon was eight his mother died.
When Simon was ten his father married an Irish women and suddenly Simon had an Irish sister.
When Simon was twenty four he graduated as a lawyer and took a job in Edinburgh, Scotland.
He is now sixty six.
Why can he not be buried on the banks of Loch Lomond in his favorite village of Luss, in Bonnie Scotland?
Hint:
Mother Corn Riddle
Hint:
A Queen's Twins Riddle
A Queen has twins by Caesarean section so it's impossible to tell who was born first. Now the twins are adults and ready to rule. One is intensely stupid, while the other is highly intelligent, well loved and charismatic. Yet the unintelligent one is chosen as the next ruler.
Why?
Why?
Hint:
Five Potatoes Riddle
A mother has six children and five potatoes. How can she feed each an equal amount of potatoes? Do not use fractions.
Hint:
Comes In Any Size
Hint:
Silver Tears Riddle
Silver tears falling down,
Natures clear imposter,
Sparkling, shining like a gown,
Adorn an elephant or horse,
Silver, PVC or even lead,
Bringing cheer to all around,
For such a simple thread.
What are these silver tears?
Natures clear imposter,
Sparkling, shining like a gown,
Adorn an elephant or horse,
Silver, PVC or even lead,
Bringing cheer to all around,
For such a simple thread.
What are these silver tears?
Hint:
Tinsel.
Tinsel emulates icicles, which are like tears and are clear in nature. Tinsel sparkles and shines, and is used to adorn elephants and horses in India. Tinsel is made from silver, PVC and was once made from lead. Tinsel brings back fond memories to many (including myself) and represents far more than a simple metallic thread would normally warrant. Did you answer this riddle correctly?
YES NO
Tinsel emulates icicles, which are like tears and are clear in nature. Tinsel sparkles and shines, and is used to adorn elephants and horses in India. Tinsel is made from silver, PVC and was once made from lead. Tinsel brings back fond memories to many (including myself) and represents far more than a simple metallic thread would normally warrant. Did you answer this riddle correctly?
YES NO
Mans Golden Greed
A metal neither black nor red,
As heavy as mans golden greed.
What you do to stay ahead,
With friend or foe or arrow and steed.
What am I?
As heavy as mans golden greed.
What you do to stay ahead,
With friend or foe or arrow and steed.
What am I?
Hint:
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
YES NO
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