Conditional Probability Math Is Fun

High School Statistics and Probability. Domain Conditional Probability and the Rules of Probability. Cluster Understand independence and conditional probability and use them to interpret data. Understand independence and conditional probability and use them to interpret data S-CP.

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Mathematics | Mean, Variance and Standard Deviation

Conditional Probability

If A and B are two events in a probability experiment, then the probability that either one of the events will occur is:. This can be represented in a Venn diagram as:. If you take out a single card from a regular pack of cards, what is probability that the card is either an ace or spade? Let X be the event of picking an ace and Y be the event of picking a spade. The two events are not mutually exclusive, as there is one favorable outcome in which the card can be both an ace and spade.

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Bayes Theorem Definition and Examples

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Events can be "Independent", meaning each event is not affected by any other events. This is an important idea! A coin does not "know" that it came up heads before Example: You toss a coin three times and it comes up "Heads" each time Some people think "it is overdue for a Tail", but really truly the next toss of the coin is totally independent of any previous tosses.

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