Independent and related events

Another important concept in probability is whether the chance of a particular event occurring depends on any other event in some way. For example, consider the event throwing a six-sided die twice and getting a double 6. Each dice throw can be considered an independent event. Each time you throw a die, the probability of each side turning up is one in six, and the outcome of the second dice roll will not change depending on the result of the first roll. On the other hand, in the event drawing two aces from the same deck, each draw is not independent of the others. If you drew an ace in the first event, the probability of getting another ace the second time is different, because now there is one less ace in ...

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