2. Notes Over 12 - 5 Independent and Dependent Events Independent Events - events in which the first event does not affect the second event Probability of Independent Events

3. Notes Over 12 - 5 1. You roll a number cube once, then again. What is the probability that you get 5 on the first roll and a number less than 4 on the second roll? Independent and Dependent Events

4. Notes Over 12 - 5 2. Suppose you use a fertilizer that increases the probability to 50% that a bluebonnet seed will grow. What is the probability that two seeds will grow? Independent and Dependent Events

5. Notes Over 12 - 5 Independent and Dependent Events Dependent Events - events in which the first event does affect the second event Probability of Dependent Events

6. Notes Over 12 - 5 3. Three boys and two girls volunteer to represent their class at a school assembly. The teacher selects one name than another from a bag containing the five students’ names. What is the probability that both representatives will be girls? Independent and Dependent Events P(girl) = P(girl after girl) = P(girl and girl) =

7. Pg. 634 #1 – 11, 12 – 27 You pick a marble from a bag containing 1 green marble, 4 red marbles, 2 yellow marbles, and 3 black marbles. You replace the first marble and select a second one. Find each probability. Independent and Dependent Events 1. P(red and yellow) =

8. Pg. 634 #1 – 11, 12 – 27 You pick a marble from a bag containing 1 green marble, 4 red marbles, 2 yellow marbles, and 3 black marbles. You replace the first marble and select a second one. Find each probability. Independent and Dependent Events 2. P(black and black) =

9. Pg. 634 #1 – 11, 12 – 27 You pick a marble from a bag containing 1 green marble, 4 red marbles, 2 yellow marbles, and 3 black marbles. You replace the first marble and select a second one. Find each probability. Independent and Dependent Events 3. P(red and black) =

10. Pg. 634 #1 – 11, 12 – 27 You pick a marble from a bag containing 1 green marble, 4 red marbles, 2 yellow marbles, and 3 black marbles. You replace the first marble and select a second one. Find each probability. Independent and Dependent Events 4. P(yellow and black) =

11. Pg. 634 #1 – 11, 12 – 27 A student has 5 blue socks and 4 black socks. He selects one sock at random. Without replacing the sock, he selects a second sock at random. Find each probability. Independent and Dependent Events 5. P(blue and black) =

12. Pg. 634 #1 – 11, 12 – 27 A student has 5 blue socks and 4 black socks. He selects one sock at random. Without replacing the sock, he selects a second sock at random. Find each probability. Independent and Dependent Events 6. P(black and blue) =

13. Pg. 634 #1 – 11, 12 – 27 A student has 5 blue socks and 4 black socks. He selects one sock at random. Without replacing the sock, he selects a second sock at random. Find each probability. Independent and Dependent Events 7. P(black and black) =

14. Pg. 634 #1 – 11, 12 – 27 A student has 5 blue socks and 4 black socks. He selects one sock at random. Without replacing the sock, he selects a second sock at random. Find each probability. Independent and Dependent Events 8. P(blue and blue) =

15. Pg. 634 #1 – 11, 12 – 27 Are the events independent or dependent? Explain. Independent and Dependent Events 9. You select a card. Without putting the card back, you select a second card.

16. Pg. 634 #1 – 11, 12 – 27 Are the events independent or dependent? Explain. Independent and Dependent Events 10. You select a card. After putting it back, you select a second card.

17. Pg. 634 #1 – 11, 12 – 27 Are the events independent or dependent? Explain. Independent and Dependent Events 11. You roll a number cube. You roll it again.

18. Pg. 634 #1 – 11, 12 – 27 Independent and Dependent Events