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  • Heavy or Light

    You are given a set of weighing scales and 12 marbles. The scales are of the old balance variety. That is, a small dish hangs from each end of a rod that is balanced in the middle. The device enables you to conclude either that the contents of the dishes weight the same or that the dish that falls lower has heavier contents than the other. The 12 marbles appear to be identical. In fact, 11 of them are identical, and one is of a different weight. Your task is to identify the unusual marble and discard it. You are allowed to use the scales three times if you wish, but no more. Note that the unusual marble may be heavier or lighter than the others. You are asked to both identify it and determine whether it is heavy or light

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    SherlockHolmes Expert Brain Teaser.
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  • Marble weight riddle

    There are 10 bags, filled with marbles. The number of marbles in each bag differs, but all bags contain ten marbles or more. Nine of the ten bags only contain marbles of 10 grams each. One bag only contains marbles of 9 grams. In addition, you have a balance which can weigh in grams accurate, and you are allowed to use it only once (i.e. weigh a single time).

    How can you find out in one weighing, which bag contains the marbles of 9 grams?

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    SherlockHolmes Expert Math Puzzles.
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  • Probable riddle

    A jar contains one hundred marbles, each of which may be white or black. You pull out 100 marbles with replacement, and they are all white. What is the probability that all one hundred marbles are white?

    (Note: “With replacement” means you take out a random marble, look at its colour, then put that marble back. Then repeat.)

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    SherlockHolmes Expert Math Puzzles.
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  • prisoner & marble riddle

    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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    SherlockHolmes Expert Hard Riddles.
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  • Game of Death Riddle

    Jacob forced John and James to play the game of death.
    Jacob placed 11 marbles at the table and asked John and James to pick marble(s) one by one with the following rules:
    1. You need to pick at least one marble.
    2. You can’t pick more than five marbles.

    The one that picks the last marble will die.

    John to start the game.

    How many marbles must John pick in order to make sure that he came out from the game alive?

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    SherlockHolmes Expert Brain Teaser.
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  • Can you save your life Puzzle?

    You are a prisoner sentenced to death.
    The Emperor offers you a last chance to live by playing a simple game.

    GAME-
    He gives you 50 black marbles, 50 white marbles and 2 empty bowls.
    He then says, “Divide these 100 marbles into these 2 bowls. You can divide them any way you like as long as you use all the marbles. Then I will blindfold you and mix the bowls around. You then can choose one bowl and remove ONE marble. If the marble is WHITE you will live, but if the marble is BLACK  you will die.”

    How do you divide the marbles up so that you have the greatest probability of saving your life that is choosing a WHITE marble?

    can-you-save-your-life

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    SherlockHolmes Expert No Category.
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