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Conditional probability

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This article explains the concepts of combined probability and conditional probability using Math (73) and French (65) test scores as examples. It illustrates how to find the combined probability of two events, P(M ∩ F), using the formula P(M) + P(F) - P(MUF). The calculations show how to derive the conditional probability, P(A|B), from the combined probability. By breaking down the steps, readers will learn to apply these concepts to evaluate scenarios involving multiple events.

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Conditional probability

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  1. Conditional probability M=Math test was .73 F= French test was .65 Neither M or F = .08

  2. 1st find Combined Probability • M=Math test was .73 • F= French test was .65 • Neither M or F = .08 • Combined formula • P(M ∩ F) = P(M) + P(F) – P (MUF) • .46 = .73 + .65 - .92 • Next is conditional .08 .27 .19 M .46 F N

  3. Conditional probability • Two steps • find combined probability • P(M ∩ F) = P(M) + P(F) – P (MUF) • .46 = .73 + .65 - .92 • Calculate conditional Probability • P(A | B) = Combined/P(second event) • .46/.65 = .708 passed both

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