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Probability

Probability. The likelihood of something occuring Always between 0 and 1 Terminology: Event: an occurence. Example: you roll a die and it’s a three. Rolling a three was your event. Probability. Compound Events.

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Probability

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  1. Probability • The likelihood of something occuring • Always between 0 and 1 • Terminology: • Event: an occurence. Example: you roll a die and it’s a three. Rolling a three was your event.

  2. Probability

  3. Compound Events • A compound event combines two or more events, using the word and or the word or. • If two or more events cannot occur at the same time they are termed mutually exclusive. • They have no common outcomes. • Overlapping events have at least one common outcome.

  4. Mutually Exclusive Events • For mutually exclusive events, the probability that one or the other of several events will occur is found by summing the individual probabilities of the events: • P(A or B) = P(A) + P(B) • A Venn diagram is used to show mutually exclusive events.

  5. Mutually Exclusive Events • Example 1: • Find the probability that a girl’s favorite department store is Macy’s or Nordstrom. • Find the probability that a girl’s favorite store is not JC Penny’s. 0.45 0.90

  6. Mutually Exclusive Events • Example 2: • When rolling one die, what is probability that you will roll a 4 or 5? 1/3

  7. Mutually Exclusive Events • Example 3: • What is the probability of picking a queen or an ace from a deck of cards 2/13

  8. Overlapping Events • Probability that non-mutually exclusive events A and B or both will occur expressed as: • P(A or B) = P(A) + P(B) - P(A and B)

  9. Overlapping Events • Example 1: • Find the probability of picking a king or a club in a deck of cards. 4/13

  10. Overlapping Events • Example 2: • Find the probability of picking a female or a person from Florida out of the committee members.

  11. Overlapping Events • Example 3: • When rolling 2 dice, what is the probability of getting an even sum or a number greater than 10?

  12. Classwork Practice Worksheet

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