The Miracle Mountain Riddle
A hiker climbs all day up a steep mountain path and arrives at the mountain top where he camps overnight. The next day he begins the descent down the same trail to the bottom of the mountain when suddenly he looks at his watch and exclaims, "That is amazing! I was at this very same spot at exactly the same time of day yesterday on my way up."
What is the probability that a hiker will be at exactly the same spot on the mountain at the same time of day on his return trip, as he was on the previous day's hike up the mountain?
Is the probability closest to (A) 99% or (B) 50% or (C) 0.1% ?
What is the probability that a hiker will be at exactly the same spot on the mountain at the same time of day on his return trip, as he was on the previous day's hike up the mountain?
Is the probability closest to (A) 99% or (B) 50% or (C) 0.1% ?
Hint: This is not a trick. His watch works perfectly well. He does not sit in the same spot all day or any other such device, although it would not change the answer if he did!
The answer is (A). Since it must happen, the probability is actually 1 (100%).
Explanation: Firstly, consider 2 men, one starting from the top of the mountain and hiking down while the other starts at the bottom and hikes up. At some time in the day, they will cross over. In other words they will be at the same place at the same time of day.
Now consider our man who has walked up on one day and begins the descent the next day. Imagine there is someone (a second person) shadowing his exact movements from the day before. When he meets his shadower (it must happen) it will be the exact place that he was the day before, and of course they are both at this spot at the same time.
Contrary to our common sense, which seems to say that this is an extremely unlikely event, it is a certainty.
NOTE: There is one unlikely event here, and that is that he will notice the time when he is at the correct location on both days, but that was not what the question asked. Did you answer this riddle correctly?
YES NO
Explanation: Firstly, consider 2 men, one starting from the top of the mountain and hiking down while the other starts at the bottom and hikes up. At some time in the day, they will cross over. In other words they will be at the same place at the same time of day.
Now consider our man who has walked up on one day and begins the descent the next day. Imagine there is someone (a second person) shadowing his exact movements from the day before. When he meets his shadower (it must happen) it will be the exact place that he was the day before, and of course they are both at this spot at the same time.
Contrary to our common sense, which seems to say that this is an extremely unlikely event, it is a certainty.
NOTE: There is one unlikely event here, and that is that he will notice the time when he is at the correct location on both days, but that was not what the question asked. Did you answer this riddle correctly?
YES NO
Chances Of A 2nd Girl Riddle
Tipli and Pikli are a married couple (dont ask me who he is and who she is)
They have two children, one of the child is a boy. Assume safely that the probability of each gender is 1/2.
What is the probability that the other child is also a boy?
They have two children, one of the child is a boy. Assume safely that the probability of each gender is 1/2.
What is the probability that the other child is also a boy?
Hint: It is not 1/2 as you would first think.
1/3
This is a famous question in understanding conditional probability, which simply means that given some information you might be able to get a better estimate.
The following are possible combinations of two children that form a sample space in any earthly family:
Boy - Girl
Girl - Boy
Boy - Boy
Girl - Girl
Since we know one of the children is a boy, we will drop the girl-girl possibility from the sample space.
This leaves only three possibilities, one of which is two boys. Hence the probability is 1/3 Did you answer this riddle correctly?
YES NO
This is a famous question in understanding conditional probability, which simply means that given some information you might be able to get a better estimate.
The following are possible combinations of two children that form a sample space in any earthly family:
Boy - Girl
Girl - Boy
Boy - Boy
Girl - Girl
Since we know one of the children is a boy, we will drop the girl-girl possibility from the sample space.
This leaves only three possibilities, one of which is two boys. Hence the probability is 1/3 Did you answer this riddle correctly?
YES NO
An Absentminded Philosopher Riddle
An absentminded philosopher forgot to wind up the only clock in his house. He had no radio, television, telephone, internet, or any other means of ascertaining the time. He therefore decided to travel by foot to his friend's house, a few miles down a straight desert road. He stayed there for the night and when he came back home the following morning, he was able to set his clock to the correct time. Assuming the philosopher always walks at the same speed, how did he know the exact time upon his return? Note: this is not a trick question. The Philosopher did not bring anything to his friend's house, nor did he bring anything back with him on his trip home.
Hint: We can assume that the journey to his friend's and back took exactly the same amount of time.
He Philosopher winds the grandfather clock to a random time right before leaving, 9:00 for example. Although this is not the right time, the clock can now be used to measure elapsed time. As soon as he arrives at his friend's house, the Philosopher looks at the time on his friend's clock. Let's say the time is 7:15. He stays overnight and then, before leaving in the morning, he looks at the clock one more time. Let's say the time is now 10:15 (15 hours later). When the Philosopher arrives home, he looks at his grandfather clock. Let's say his clock reads 12:40. By subtracting the time he set it to when he left (9:00) from the current time (12:40) he knows that he has been gone for 15 hours and 40 minutes. He knows that he spent 15 hours at his friends house, so that means he spent 40 minutes walking. Since he walked at the same speed both ways, it took him 20 minutes to walk from his friend's home back to his place. So the correct time to set the clock to in this example would therefore be 10:15 (the time he left his friend's house) + 20 minutes (the time it took him to walk home) = 10:35. Did you answer this riddle correctly?
YES NO
YES NO
Hot Air Balloon Over The Sahara
One sunny afternoon, three men go for a ride on a hot air balloon over the Sahara desert. An hour into the trip, the balloon begins to lose altitude. A month later, someone found one of the ballooners laying on the desert sand dead, naked, and holding half a toothpick. What happened to him?
Hint:
As the balloon lost altitude, the men took of their clothes and threw them overboard to decrease the weight of the balloon. The balloon continued to drop so the men drew straws to see who would be forced to jump. The dead man in the desert drew the shortest one (the half toothpick). Did you answer this riddle correctly?
YES NO
YES NO
A Cruise Between Mexico And The USA Riddle
A man sails off on a cruise between Mexico and the USA. He does not stop at any ports and does not even come out of the cabin, yet he makes $300,000 from his trip. How?
Hint:
A Single Candle On A Cake
Im a single candle on a cake
A solar trip without a break
Cheer me out and hear me ringing
52 days and a new beginning
What am I?
A solar trip without a break
Cheer me out and hear me ringing
52 days and a new beginning
What am I?
Hint:
1 of your 7 year cycles! You go through 7 cycles every year. The first cycle starts on your birthday, and each of the 7 cycles lasts 52 days. (7x52=364).
You only have to find your personal cycle numbers once, because it's always the same, year after year. Did you answer this riddle correctly?
YES NO
You only have to find your personal cycle numbers once, because it's always the same, year after year. Did you answer this riddle correctly?
YES NO
Mark And Nancy Riddle
Mark and Nancy have been married for five years. They have a little son named sam.
On a Saturday afternoon, the couple went out to a restaurant to celebrate their fifth anniversary together. Her when they returned in the evening, they found their son dead. There were three other people in the house at the time of the murder. The babysitter said she was ironing sams school uniform for tomorrow. The maid said she was cleaning the corners of the house and the chef said he was chopping vegetables for dinner. Youve been hired to investigate who killed Sam. So who did it?
On a Saturday afternoon, the couple went out to a restaurant to celebrate their fifth anniversary together. Her when they returned in the evening, they found their son dead. There were three other people in the house at the time of the murder. The babysitter said she was ironing sams school uniform for tomorrow. The maid said she was cleaning the corners of the house and the chef said he was chopping vegetables for dinner. Youve been hired to investigate who killed Sam. So who did it?
Hint:
It can be the babysitter or the chef.
Explanation: Both of them are the culprit because if they went for dinner so why the chef is preparing dinner?
And the other is the babysitter because she was ironing the shirt for school tomorrow but it was a Saturday so the next day is Sunday. Did you answer this riddle correctly?
YES NO
Explanation: Both of them are the culprit because if they went for dinner so why the chef is preparing dinner?
And the other is the babysitter because she was ironing the shirt for school tomorrow but it was a Saturday so the next day is Sunday. Did you answer this riddle correctly?
YES NO
8 College Students Riddle
There was a group of 8 college students who all belonged to the mountain climbing club. One day, during the Winter, they decided to climb the tallest mountain in the area. During the ascent, the weather took a turn for the worse. They ran into trouble and were stranded near the top for two weeks.
Eventually, a rescue team managed to reach them. There were only 7 survivors. They were airlifted to a nearby hospital. After a few days, 6 of them made a full recovery, but the seventh survivor was so traumatized by the experience that he lost his mind and was put in a mental hospital.
The police questioned the remaining 6 about what happened during the two weeks they were stranded on the mountain. They asked what happened to the missing climber.
He just wandered off and never came back, they said. The police questioned each of the 6 survivors and they all told the same story.
Then, they went to the mental hospital to question the 7th survivor, but they couldnt get any sense out of him. When they asked him what happened to the missing climber, he just kept banging his head against the padded walls and repeating over and over, 8.. 8 8...
What does this mean?
Eventually, a rescue team managed to reach them. There were only 7 survivors. They were airlifted to a nearby hospital. After a few days, 6 of them made a full recovery, but the seventh survivor was so traumatized by the experience that he lost his mind and was put in a mental hospital.
The police questioned the remaining 6 about what happened during the two weeks they were stranded on the mountain. They asked what happened to the missing climber.
He just wandered off and never came back, they said. The police questioned each of the 6 survivors and they all told the same story.
Then, they went to the mental hospital to question the 7th survivor, but they couldnt get any sense out of him. When they asked him what happened to the missing climber, he just kept banging his head against the padded walls and repeating over and over, 8.. 8 8...
What does this mean?
Hint:
Two Ships Riddle
Two ships leave the port of San Diego, both sailing for the distant shores of Japan. Each ship plans to travel the same route, spending a two-week stopover in Tokyo before returning to California. The first ship churns through the sea at 35 miles per hour throughout the entire journey. The second ship moves slower, at just 30 mph. After two weeks in Tokyo, the captain of the second ship decides to run at a faster pace, moving at 40 mph for the entire return trip. Which ship arrives in San Diego first?
Hint:
The first ship!
First ship = d/35 + d/35 = 2d/35 = 0.0571d
Second ship = d/30 = d/40 = 70d/1200 = 0.058 Did you answer this riddle correctly?
YES NO
First ship = d/35 + d/35 = 2d/35 = 0.0571d
Second ship = d/30 = d/40 = 70d/1200 = 0.058 Did you answer this riddle correctly?
YES NO
Two Ships Riddle
Two ships leave the port of San Diego, both sailing for the distant shores of Japan. Each ship plans to travel the same route, spending a two-week stopover in Tokyo before returning to California. The first ship churns through the sea at 35 miles per hour throughout the entire journey. The second ship moves slower, at just 30 mph. After two weeks in Tokyo, the captain of the second ship decides to run at a faster pace, moving at 40 mph for the entire return trip. Which ship arrives in San Diego first?
Hint:
The first ship!
First ship = d/35 + d/35 = 2d/35 = 0.0571d
Second ship = d/30 = d/40 = 70d/1200 = 0.058 Did you answer this riddle correctly?
YES NO
First ship = d/35 + d/35 = 2d/35 = 0.0571d
Second ship = d/30 = d/40 = 70d/1200 = 0.058 Did you answer this riddle correctly?
YES NO
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