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29 November, 20:43

How to use replacement in probability

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  1. 29 November, 20:54
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    Step-by-step explanation:

    Replacement means the probability of each trial is the same (the trials are independent).

    For example, let's say you have a standard deck of 52 cards, and you want to find the probability of drawing a queen card twice.

    There are 4 queens, so the probability on the first draw is 4/52.

    You then replace the queen, so there are still 4 queens in the deck. So the probability on the second draw is still 4/52.

    The total probability is the product: 4/52 * 4/52 = 1/169

    If you didn't replace the queen after the first draw, there would have been 3 queens in the deck, and the probability on the second draw would have been 3/52.
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