Probability Puzzles
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You are a contestant on the Jacob game show. Three closed doors are shown before you. Behind one of these doors is a Bike; behind the other two are Goats. The contestant does not know where is the bike, but Jacob does.
The contestant picks a door and Jacob opens one of the remaining doors, one he knows doesn’t hide the bike. If the contestant has already chosen the correct door, Jacob is equally likely to open either of the two remaining doors.
After Jacob has shown a goat behind the door that he opens, the contestant is always given the option to switch doors. What is the probability of winning the bike if he stays with his first choice? What if he decides to switch?
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A prisoner fate will be determined by a game. there are two jars, one with 100 white marbles, and one with 100 black marbles. at this point, prisoner is allowed to redistribute the marbles however he wish e.g. swap a black marble with a white marble, etc. the only requirement is that after prisoner is done with the redistribution, every marble must be in one of the two jars. Afterwards, both jars will be shaken up, and prisoner will be blindfolded and presented with one of the jars at random. then he pick one marble out of the jar given to him. if the marble prisoner pull out is white, prisoner live; if black, prisoner die. how should prisoner redistribute the marbles to maximise the probability that he live; what is this maximum probability (roughly)?
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Three logicians went to bar for having a drink.
The bar person asks the logicians “Do they all want to have the drink?”.
The first logician replied, ” I don’t know”.
The second logician replied, ” I don’t know”.What is the reply of the last logician?
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What if somebody offered to bet that at least two people in your Social group had the same birthday?
Would you take the bet?
How large must a social group be to make the probability of finding two people with the same birthday at least 50%?
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At the local Puzzlefry Internet dispatch center, the packing department was getting ready for the weekend.
However, it was late in the day and the final five packages were ready to be labelled.
Unfortunately, John dropped the labels to the packages and then had no idea which label belonged to which packet.
What is the probability that John managed to correctly label exactly four of the five packages?
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Jahn and his wife went to a party where four other married couples were present. Every person shook hands with everyone he or she was not acquainted with. When the handshaking was over, John asked everyone, including his own wife, how many hands they shook. To his surprise, Jahn got nine different answers.
How many hands did John’s wife shake ?
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I ask people at random if they have two children and also if one is a boy born on a tuesday. After a long search I finally find someone who answers yes.
What is the probability that this person has two boys?
Assume an equal chance of giving birth to either sex and an equal chance to giving birth on any day.
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There is 38 numbers. What is the least number of comparison needed to find the 2nd smallest out of them?
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