Question: You are playing a game of dodge ball with two other people, John and Tom. You're standing in a triangle and you all take turns throwing at one of the others of your choosing until there is only one person remaining. You have a 30 percent chance of hitting someone you aim at, John has a 50 percent chance, and Tom a 100 percent change (he never misses). If you hit somebody they are out and no longer get a turn.
If the order of throwing is you, John, then Tom; what should you do to have the best chance of winning?
Answer: Miss the first time on purpose.
If you try to hit John and do. Then Tom goes next and he will hit you and you will lose for sure. If you aim at Tom and hit him then John will go for you. If you miss on your first turn John will go for Tom for sure because he is a stronger player. If he hits him then it's just you and John, but you are going first. If he misses him then Tom will hit John and it will be just you and Tom, but again in this case you are going first.
Question: Found here : https://play.google.com/store/apps/details?id=com.jeux.enigmes Five bankers are sharing 12 golden ingots. They decide to proceed that way : The elder one will suggest an ingots allotment. The rest will vote for or against it. If the majority accepts, the sharing is ratified. If not, the elder will be dismissed. So, the sharing would be done between the remaining banker with the same rules. Knowing that they are set from left to right in a diminishing order of their ages, how would be the allotment ?
Question: A very important man is about to take a trip to Iceland. He is awoken in the middle of the night by his security guard the night before he is supposed to leave. His guard tells him he needs to take a boat rather than a plane, because he just dreamt that the plane was going to crash. The guard leaves because it's the end of his shift.
The man listens to his guard and takes a boat. Soon after arriving in Iceland he hears that the plane he was supposed to go on crashed. When he arrives home he fires his guard.
Answer: He was sleeping on the job.
Question: A man taking the census walks up to the apartment of a mathematician and asks him if he has any children and how old they are. The mathematician says "I have three daughters and the product of their ages is 72." The man tells the mathematician that he needs more information, so the mathematician tells him "The sum of their ages is equal to our apartment number." The man still needs more information so the mathematician tells him "My oldest daughter has her own bed and the other two share bunk beds."
How old are his daughters?
Answer: His daughters are 8, 3, and 3. The prime factorization of 72 is 2 * 2 * 2 * 3 * 3, so the possible ages are 2, 3, 4, 6, 8, 9, 12, and 18. Using the prime factorization and these numbers the only combinations of numbers that work for the first clue are:
18, 2 and 2.
9, 4 and 2.
6, 6 and 2.
6, 4 and 3.
8, 3, and 3.
Since he doesn't know the ages after this piece of information the sum of the three numbers must not be unique. The sum of 8, 3, and 3; and 6, 6, and 2 are the same. Now the final clue comes in handy. Since we know that the oldest daughter has her own bed it is likely that she has the bed to herself and is older than the other two so there ages are 8, 3, and 3 rather than 2, 6 and 6.
Question: A man works at a high security facility. He goes to work in the morning on his computer. He types in his password, but it is incorrect. He remembers that the password changes every month, so he calls his boss. The man says, “Boss, the old password is out of date.” The boss replies, “Yes, the new password is different. But if you listen closely, you will figure it out. It has the same amount of letters, but no spaces.” The man thanks the boss and types the password in immediately. What was the new password and the old password?
Answer: The old password is “out of date,” and the new password is “different.”
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