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5.3 Conditional Probability

5.3 Conditional Probability. Objectives: By the end of this section, I will be able to… Calculate conditional probabilities. Recognize the difference between sampling with replacement and sampling without replacement. CONDITIONAL PROBABILITY:.

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5.3 Conditional Probability

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  1. 5.3 Conditional Probability Objectives: By the end of this section, I will be able to… • Calculate conditional probabilities. • Recognize the difference between sampling with replacement and sampling without replacement.

  2. CONDITIONAL PROBABILITY: • For two RELATED events A and B, the probability of B given A. P(B|A)

  3. CONDITIONAL PROBABILITY: • Key words: GIVEN, KNOWING, IF DIVIDE if you see these key words!

  4. Cheating Hearts 1) The probability that a Sallies student cheats on his girl is 0.79. If the probability that a Sallies boy and his girl both cheat is 0.14, what is the probability that his girl cheats GIVEN that he cheats?

  5. Pretty Boys 2) Eighty-four percent of Sallies boys think they are good looking. Nine percent of Sallies boys think they are good looking and actually are cute. If a student is selected at random, what it the probability that this person is actually good looking?

  6. Rich girls 3) Evan has dated a lot of girls and 21% were rich. 12% of them were rich and pretty at the same time. If one of his dates is chosen at random, what it the probability that this girl is pretty?

  7. Two-way Table • Make a two way table to help you organize information. Question: Do you have your own car?

  8. Two-way Table Question: Do you have your own car? P(car) = P(car | male) = P(No car | female) = P(male | no car) =

  9. HINTS • DIVIDE for the key words of GIVEN IF KNOWING KNOW • Bigger decimal/percentage always goes in the denominator

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