A Foot With No Legs Riddle
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Halfway To 100
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I Am Close To 100
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A Foot In Between Riddle
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The 100 Seat Airplane
People are waiting in line to board a 100-seat airplane. Steve is the first person in the line. He gets on the plane but suddenly can't remember what his seat number is, so he picks a seat at random. After that, each person who gets on the plane sits in their assigned seat if it's available, otherwise they will choose an open seat at random to sit in.
The flight is full and you are last in line. What is the probability that you get to sit in your assigned seat?
The flight is full and you are last in line. What is the probability that you get to sit in your assigned seat?
Hint: You don't need to use complex math to solve this riddle. Consider these two questions:
What happens if somebody sits in your seat?
What happens if somebody sits in Steve's assigned seat?
The correct answer is 1/2.
The chase that the first person in line takes your seat is equal to the chance that he takes his own seat. If he takes his own seat initially then you have a 100% chance of sitting in your seat, if he takes your seat you have a 0 percent chance. Now after the first person has picked a seat, the second person will enter the plan and, if the first person has sat in his seat, he will pick randomly, and again, the chance that he picks your seat is equal to the chance he picks someone your seat. The motion will continue until someone sits in the first persons seat, at this point the remaining people standing in line which each be able to sit in their own seats. Well how does that probability look in equation form? (2/100) * 50% + (98/100) * ( (2/98) * 50% + (96/98) * ( (2/96) * (50%) +... (2/2) * (50%) ) ) This expansion reduces to 1/2.
An easy way to see this is trying the problem with a 3 or 4 person scenario (pretend its a car). Both scenarios have probabilities of 1/2. Did you answer this riddle correctly?
YES NO
The chase that the first person in line takes your seat is equal to the chance that he takes his own seat. If he takes his own seat initially then you have a 100% chance of sitting in your seat, if he takes your seat you have a 0 percent chance. Now after the first person has picked a seat, the second person will enter the plan and, if the first person has sat in his seat, he will pick randomly, and again, the chance that he picks your seat is equal to the chance he picks someone your seat. The motion will continue until someone sits in the first persons seat, at this point the remaining people standing in line which each be able to sit in their own seats. Well how does that probability look in equation form? (2/100) * 50% + (98/100) * ( (2/98) * 50% + (96/98) * ( (2/96) * (50%) +... (2/2) * (50%) ) ) This expansion reduces to 1/2.
An easy way to see this is trying the problem with a 3 or 4 person scenario (pretend its a car). Both scenarios have probabilities of 1/2. Did you answer this riddle correctly?
YES NO
Footprints Between Two Parallel Lines Riddle
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Add Up To 100 Riddle
With the numbers 123456789, make them add up to 100. They must stay in the same order. You can use addition, subtraction, multiplication, and division. Remember, they have to stay in the same order!
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What Has A Foot But No Legs Riddle
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100 Widgets Riddle
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It would take 5 minutes. Each machine takes 5 minutes to make its widget. Therefore, each of the 100 machines would have finished making its widget in 5 minutes. Did you answer this riddle correctly?
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YES NO
The Foot Of A Wolf Riddle
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100 Meter Sprint Riddle
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100 Lawyers Riddle
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Less Than 100 Riddle
Find a number less than 100 that is increased by one-fifth of its value when its digits are reversed.
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Little Johnny's Bet Riddle
Little Johnny is walking home. He has $300 he has to bring home to his mom. While he is walking a man stops him and gives him a chance to double his money. The man says "I'll give you $600 if you can roll 1 die and get a 4 or above, you can roll 2 dice and get a 5 or 6 on at least one of them, or you can roll 3 dice and get a 6 on at least on die. If you don't I get your $300."
What does Johnny do to have the best chance of getting home with the money?
What does Johnny do to have the best chance of getting home with the money?
Hint:
He just doesn't take the bet. This gives him a 100 percent chance of getting the money home. If he takes the bet with 1 die he has a 50 percent chance of winning. If he takes the bet with 2 dice he has about a 56 percent chance of winning. If he takes the bet with 3 dice he has about a 42 percent chance of winning. Did you answer this riddle correctly?
YES NO
YES NO
Little Johnny's Cats Riddle
Little Johnny's teacher asks him, "If I gave you two cats, then two more, and two more cats; how many would you have?"
Little Johnny replies, "Seven!"
His teacher asks him again more slowly, "If I gave you two cats, then two more, and two more cats; how many would you have?"
But again Little Johnny replies, "Seven!"
Next she asks, "If I get two cats, then two more, and two more cats; how many would I have?"
Little Johnny replies, "Six!"
"Good Job Johnny! Now if I gave you two cats, then two more, and two more cats; how many would you have?"
Johnny thinks for a second, "Seven."
But Johnny is not wrong. Why?
Little Johnny replies, "Seven!"
His teacher asks him again more slowly, "If I gave you two cats, then two more, and two more cats; how many would you have?"
But again Little Johnny replies, "Seven!"
Next she asks, "If I get two cats, then two more, and two more cats; how many would I have?"
Little Johnny replies, "Six!"
"Good Job Johnny! Now if I gave you two cats, then two more, and two more cats; how many would you have?"
Johnny thinks for a second, "Seven."
But Johnny is not wrong. Why?
Hint:
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