The Last Cookie Riddle
Mike and James are arguing over who gets the last cookie in the jar, so their dad decides to create a game to settle their dispute. First, Mike flips a coin twice, and each time James calls heads or tails in the air. If James gets both calls right, he gets the last cookie. If not, Mike picks a number between one and six and then rolls a die. If he gets the number right, he gets the last cookie. If not, James picks two numbers between one and five, then spins a spinner with numbers one through five on it. If the spinner lands on one of James' two numbers, he gets the last cookie. If not, Mike does.
Who is more likely to win the last cookie, Mike or James? And what is the probability that person wins it?
Who is more likely to win the last cookie, Mike or James? And what is the probability that person wins it?
Hint: Their dad is a very smart person.
Believe it or not, both Mike and James have a 1/2 chance of winning.
James wins if:
-he calls both coin flips right = 1/2 x 1/2 = 1/4
OR
-he does not call both coin flips right, Mike does not call the die roll correctly, and he guesses the number on the spinner right = 3/4 x 5/6 x 2/5 = 30/120 = 1/4
1/4 + 1/4 = 1/2
Mike wins if:
-James does not call both coin flips right and he calls the die roll correctly = 3/4 x 1/6 = 3/24 = 1/8
OR
-James does not call both coin flips right, he does not call the die roll correctly, and Mike does not guess the number on the spinner right = 3/4 x 5/6 x 3/5 = 45/120 = 3/8
1/8 + 3/8 = 1/2
Of course, dad could have just flipped a coin Did you answer this riddle correctly?
YES NO
James wins if:
-he calls both coin flips right = 1/2 x 1/2 = 1/4
OR
-he does not call both coin flips right, Mike does not call the die roll correctly, and he guesses the number on the spinner right = 3/4 x 5/6 x 2/5 = 30/120 = 1/4
1/4 + 1/4 = 1/2
Mike wins if:
-James does not call both coin flips right and he calls the die roll correctly = 3/4 x 1/6 = 3/24 = 1/8
OR
-James does not call both coin flips right, he does not call the die roll correctly, and Mike does not guess the number on the spinner right = 3/4 x 5/6 x 3/5 = 45/120 = 3/8
1/8 + 3/8 = 1/2
Of course, dad could have just flipped a coin Did you answer this riddle correctly?
YES NO
Giving You Your Sight
Although its not a curtain
This gets closed every night
So that you can go to sleep
Its what gives you your sight
It is...
This gets closed every night
So that you can go to sleep
Its what gives you your sight
It is...
Hint:
Two On Your Face
This thing has some lashes
But it is not a whip
Its able to be closed
But it is not a zip
Its part of your body
But it is not a hip
There are two on your face
But it is not a lip
What could it be?
But it is not a whip
Its able to be closed
But it is not a zip
Its part of your body
But it is not a hip
There are two on your face
But it is not a lip
What could it be?
Hint:
Ball That Dont Bounce Riddle
Hint:
Leave Me Alone And I Will Die
I have no ears, but more than one eye,
Cut me in half, I wont cry,
Leave me alone and I will die.
What am I?
Cut me in half, I wont cry,
Leave me alone and I will die.
What am I?
Hint:
A potato. The roots growing out of a potato are called eyes, when you cut a potato in half it doesnt produce any moisture and if you leave a poor potato to its own devices, it will die. Did you answer this riddle correctly?
YES NO
YES NO
What Should Always Be Looked Into
Hint:
I Supply The Facts
I supply the facts, but you supply the thoughts. I am also used to describe realistic droughts. My inhabitants are abstract as their places, And I provide details of their words & faces. I hold details in a very complex form, I may cause your mind to conjure up a storm. I hold many different views from different eyes, My facts can be hard to find; as if in disguise. I may tell of facts, but it may be theories I contain, I can inform, persuade, and can even entertain. I tell of a little girl, and of men chasing a whale, and only through me can you find the answer to this tale. What am I?
Hint: I am educational.
Who Is This Traveler?
A traveler starts a journey. For the first week he goes east. The second he goes in all directions. The third he flies up into the sky. In the fourth he comes back down. Who is the traveler?
Hint:
An iceberg - travels East as an iceberg, free flowing water when melted, flies up to sky when evaporated, falls back down as rain. Did you answer this riddle correctly?
YES NO
YES NO
Machine, Toy, Snake?
To a bird's eye,
I am a snake.
To a child's eye,
I am a toy.
To an adult's eye,
I am a machine.
What am I?
I am a snake.
To a child's eye,
I am a toy.
To an adult's eye,
I am a machine.
What am I?
Hint:
The Red Hat
Once upon a time there lived a king who wished to find the wisest man in the realm to be his assistant. He summons the 3 known wisest men to his court and he administers the following test.
He sits them in a circle, facing each other and he says Im going to put either a red hat or a white hat on each of your heads. He proceeds to place a red hat on each of their heads. Obviously they can see each other but there are no mirrors in the room so they cant see whats on their heads. He says If you can see a red hat, raise your hand. They all raise their hands. Then he says If you can tell what color hat you have on, stand up.
Time goes on, one guy looks at another guy, he looks at the other guy. The other guy looks at him. Finally one guy stands up. The question is how did he know he was wearing a red hat?
He sits them in a circle, facing each other and he says Im going to put either a red hat or a white hat on each of your heads. He proceeds to place a red hat on each of their heads. Obviously they can see each other but there are no mirrors in the room so they cant see whats on their heads. He says If you can see a red hat, raise your hand. They all raise their hands. Then he says If you can tell what color hat you have on, stand up.
Time goes on, one guy looks at another guy, he looks at the other guy. The other guy looks at him. Finally one guy stands up. The question is how did he know he was wearing a red hat?
Hint: For a moment or two, nobody moved. Nobody knew for certain what color his hat was, and thats what told the wisest guy that all of the hats were red.
Step 1:
Wiseguy #1 knows he can see two red hats.
Step 2:
Wiseguy #1 thinks, "Hey, if I were wearing a white hat, Wiseguy #2 would see one red hat and one white."
Step 3:
Wiseguy #1 then thinks, "If I were wearing a white hat, and Wiseguy #2 saw one red hat and one white (and if he were wearing a white hat himself), then Wiseguy #3 would have seen two white hats. So, Wiseguy #3 wouldnt have raised his hand to the first question.
Wiseguy #1 thinks, "If that were true, Wiseguy #2 would be sure that he had a red hat. But since Wiseguy #2 was actually unsure about his hat color, it can only mean one thing, my hat is red." Did you answer this riddle correctly?
YES NO
Wiseguy #1 knows he can see two red hats.
Step 2:
Wiseguy #1 thinks, "Hey, if I were wearing a white hat, Wiseguy #2 would see one red hat and one white."
Step 3:
Wiseguy #1 then thinks, "If I were wearing a white hat, and Wiseguy #2 saw one red hat and one white (and if he were wearing a white hat himself), then Wiseguy #3 would have seen two white hats. So, Wiseguy #3 wouldnt have raised his hand to the first question.
Wiseguy #1 thinks, "If that were true, Wiseguy #2 would be sure that he had a red hat. But since Wiseguy #2 was actually unsure about his hat color, it can only mean one thing, my hat is red." Did you answer this riddle correctly?
YES NO
I Cannot See
Hint:
Owls And Wolves Riddle
You are in the woods with owls and wolves. There are 22 eyes and 32 legs. How many owls and wolves are there?
Hint:
5 owls and 5 wolves, (not 6 owls because 2 of the eyes and legs are yours).
2 * owls + 2 * wolves = 20 eyes
2 * owls + 4 * wolves = 30 legs
owls + wolves = 10 eyes owls = 10 wolves
owls + 2 * wolves = 15 10 wolves + 2 * wolves = 15 wolves = 5
owls + 5 = 10 owls = 5 Did you answer this riddle correctly?
YES NO
2 * owls + 2 * wolves = 20 eyes
2 * owls + 4 * wolves = 30 legs
owls + wolves = 10 eyes owls = 10 wolves
owls + 2 * wolves = 15 10 wolves + 2 * wolves = 15 wolves = 5
owls + 5 = 10 owls = 5 Did you answer this riddle correctly?
YES NO
Four Brothers Riddle
There are four brothers in this world that were all born together. The first runs and never wearies. The second eats and is never full. The third drinks and is always thirsty. The fourth sings a song that is never good. What are these four brothers?
Hint:
Bugs Bunny Might Take A Bite Riddle
Hint:
This Gate's Key Riddle
My first is foremost legally,
My second circles outwardly,
My third leads all in victory,
My fourth twice ends a nominee,
My whole is this gate's only key.
What am I?
My second circles outwardly,
My third leads all in victory,
My fourth twice ends a nominee,
My whole is this gate's only key.
What am I?
Hint:
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