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PROBABILITY

PROBABILITY. Independent and Dependent Events. Independent Event. The outcome of one event does NOT affect the outcome of the other. Example The weather on Saturday does NOT affect the weather on Sunday. Independent Words.

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PROBABILITY

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  1. PROBABILITY Independent and Dependent Events

  2. Independent Event • The outcome of one event does NOT affect the outcome of the other. • Example • The weather on Saturday does NOT affect the weather on Sunday

  3. Independent Words • If two events, A and B, are independent, then the probability of both events occurring is the product of the probability of A and the probability of B.

  4. Independent Symbols P(A and B) = P(A) * P(B) Probability of INDEPENDENT events A and B IS EQUAL Probability of event B To the PRODUCT of Probability of event A

  5. Independent Gizmo Set Up • 5 Marbles • 3 Blue and 2 Green • Goal: • Determine probability of picking a blue marble and then a green • Independent  Return first marble after picking it.

  6. Independent Gizmo in Action Select desired outcome Independent event Determine number of draws

  7. Dependent Event • The outcome of one event AFFECTS the outcome of another event • Example • Drawing a card from a deck, not returning it, then drawing a second card are dependent events.

  8. Dependent Words • If two events, A and B, are DEPENDENT, then the probability of both events occurring is the product of the probability of A and the probability of B after A occurs.

  9. Dependent Symbols Probability of event B following A P(A and B) = P(A) * P(B following A) Probability of DEPENDENT events A and B IS EQUAL To the PRODUCT of Probability of event A

  10. Dependent Gizmo Set Up • 5 Marbles • 3 Blue and 2 Green • Goal: • Determine probability of picking a blue marble and then a green • Dependent  Do NOT return first marble after picking it.

  11. Dependent Gizmo in Action Select desired outcome Dependent event Determine number of draws

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