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Warm-Up

Warm-Up. On a spinner below, each numbered section is exactly 1/8 of the spinner. Find the probability of each event in three spins of the spinner. Exactly one number is 8 or greater than 3. REMEMBER…. Quiz Friday over 10.3-10.6 Ch. 10 Test: March 18. 10.6 Dependent Events and Probability.

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Warm-Up

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  1. Warm-Up • On a spinner below, each numbered section is exactly 1/8 of the spinner. Find the probability of each event in three spins of the spinner. • Exactly one number is 8 or greater than 3

  2. REMEMBER…. • Quiz Friday over 10.3-10.6 • Ch. 10 Test: March 18

  3. 10.6 Dependent Events and Probability

  4. Words to know…. A Conditional Probability occurs when some condition is known that may affect the probability of an event.

  5. Conditional Probability: • The conditional probability of event B, given event A, denoted by , where

  6. Example 1: • The band at Villesdale High School has 50 members, and the student council has 20 members. Five student council members are also in the band. Suppose that a student is randomly selected form these two groups • Find the probability that the student is a member of the band if you know that he or she is on the student council.

  7. You Try: • The Wilmont High School honor society has 20 member, and the school’s debate teach has 18 members. Twelve members of the debate teach are also in the honor society. Suppose that a student is randomly selected from these two groups. • Find the probability that the student is a member of the debate team if it is known that he or she is a member of the honor society.

  8. Example 2: • Using the table below find: • P(paper | recycled) • P(recycled | paper)

  9. Example 3: • A bag contains 5 blue and 8 yellow marbles. For each case below find the probability of randomly selecting a blue marble on the first draw and a yellow marble on the second draw. • The first marble is replaced. • The first marble is not replaced.

  10. Example 4: • For one roll of a number cube, let A be the event “even” and let B be the event “2”. Find each probability. • P(A) • P(A and B) • P(B|A)

  11. Practicing will help you remember… • P. 668 #9-29odd • Finish the 10.6 worksheet • Quiz FRIDAY over 10.3-10.6!!!

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