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Warm up

Warm up. The following table shows the number of people that like a particular fast food restaurant. What is the probability that a person likes Wendy’s? What is the probability that a person is male? 3. What is the probability that a randomly chosen is male and likes Burger King?. 7/20.

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Warm up

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  1. Warm up • The following table shows the number of people that like a particular fast food restaurant. • What is the probability that a person likes Wendy’s? • What is the probability that a person is male? • 3. What is the probability that a randomly chosen is male and likes Burger King? 7/20 45/100 = 9/20 15 / 100 = 3/20

  2. Independent vs. Dependent events Replacement and Without Replacement

  3. Independent Events(with replacement) • Two events A and B, are independent if the fact that A occurs does not affect the probability of B occurring. • Probability of A and B occurring: P(A and B) = P(A)  P(B)

  4. AND Means you MULTIPLY

  5. Example 1 A coin is tossed and a 6-sided die is rolled. Find P(landing on heads and rolling a 3).

  6. Example 2 A card is chosen at random from a deck of 52 cards. It is then REPLACED and a second card is chosen. Find the P(a jack and an 8).

  7. Example 3 A jar contains 3 red, 5 green, 2 blue and 6 yellow marbles. A marble is chosen at random from the jar. After replacing it, a second marble is chosen. Find the P(a green and a yellow).

  8. Example 4 A school survey found that 9 out of 10 students like pizza. If 3 students are chosen at random with replacement, find P(all three students like pizza).

  9. Dependent Events(without replacement) • Two events A and B, are dependent if the fact that A occurs affects the probability of B occurring. • Not replacing will cause you to subtract from the denominator (and sometimes from the numerator).

  10. Example 5 A jar contains 3 red, 5 green, 2 blue and 6 yellow marbles. A marble is chosen at random from the jar. A second marble is chosen without replacing the first one. Find P(a green and a yellow marble).

  11. Example 6 An aquarium contains 6 gold fish and 4 white fish. You randomly select a fish from the tank, do not replace it, and then randomly select a second fish. Find the P(1st fish is gold and 2nd fish is gold).

  12. Example 7 A random sample of parts coming off a machine is done by an inspector. He found that 5 out of 100 parts are bad on average. What is the P(1st part is bad and 2nd part is bad) if he doesn’t replace the first?

  13. Class work SPW 19.2 Why did the actor jump out of a window in Times Square?

  14. Homework textbook Finish WS and p. 349 #17 & 18 p. 350 #16 – 18 p. 353 #5, 6 p. 354 #5, 6, 8

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