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Math

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A game has a box containing four marbles - three red and one green. The player draws one marble at a time without replacement until the green marble is drawn. After that, the game is over.
The game ends in four different ways. What is the probability of drawing a green marble for each of these possible outcomes?

  • Math -

    green on first try = 1/4

    green on second try:
    red first = 3/4
    then green = 1/3
    so
    3/4 * 1/3 = 1/4

    green on third try
    red first = 3/4
    red second = 2/3
    green third = 1/2
    3/4 * 2/3 * 1/2 = 1/4

    green o fourth try
    red first = 3/4
    red second = 2/3
    red third = 1/2
    green fourth = 1/1
    would you believe 1/4 again :)

  • Math - Probability -

    There is a shooting game that consists of 10 targets. The player must use a bow to hit all the targets in order to win a prize. What is the probability of hitting all 10 targets if the player has 15 arrows?

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