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13.4 Independent Events
13.4 Independent Events
13.4 Independent Events
13.4 Independent Events
13.4 Independent Events
13.4 Independent Events
13.4 Independent Events
13.4 Independent Events
13.4 Independent Events
13.4 Independent Events
13.4 Independent Events
13.4 Independent Events
13.4 Independent Events
13.4 Independent Events
13.4 Independent Events
13.4 Independent Events
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13.4 Independent Events

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  • 1. 13.4 Independent Events Student Study Guide
  • 2. Tree Diagrams 1. 3x3=9 2. 3x4=12 3. 3x2=6 4. 3x4=12 How does a quiet Hawaiian laugh? 1. 6^5 = 7776 2. 4x3x2=24 3. 5x4=20 4. 6x3=18 5. 12x6x4=288 6. 2^8=256 7. 5^3=125 With alowha
  • 3. Strawberry M&Ms Walnuts Strawberries Banana Vanilla M&Ms Walnuts Strawberries M&Ms Walnuts Strawberries 3x3 = 9
  • 4. Independent Events <ul><li>Two events are independent if the occurrence of one does not affect the probability of the occurrence of the other. </li></ul>
  • 5. <ul><li>1. The first marble is green and the second is yellow. </li></ul>10 X 5 = 18 18 50 = 324 25 162 A bag contains 10 green marbles, 5 yellow marbles, and 3 red marbles. Find the probability if the marbles are replaced.
  • 6. A bag contains 10 green marbles, 5 yellow marbles, and 3 red marbles. Find the probability if the marbles are replaced. <ul><li>3. The first marble is red and the second is yellow. </li></ul>3 X 5 = 18 18 15 = 324 5 108
  • 7. <ul><li>5. Neither marble is green. </li></ul>A bag contains 10 green marbles, 5 yellow marbles, and 3 red marbles. Find the probability if the marbles are replaced. 8 X 8 = 18 18 64 = 324 16 81
  • 8. A bag contains 10 green marbles, 5 yellow marbles, and 3 red marbles. Find the probability. <ul><li>7. The first marble is yellow and the second is red. </li></ul>5 X 3 = 18 18 15 = 324 5 108
  • 9. Practice Masters Level B
  • 10. A red number cube and a green number cube are rolled together. Find the probability of each event. <ul><li>1. The green cube is odd and the red cube is even. </li></ul>3 X 3 = 6 6 9 = 36 1 4 Green: 1, 3, 5 Red: 2, 4, 6
  • 11. A red number cube and a green number cube are rolled together. Find the probability of each event. <ul><li>3. The green cube is greater than 2 and the red cube is greater than 5. </li></ul>4 X 1 = 6 6 4 = 36 1 9 Green: 3, 4, 5, 6 Red: 6
  • 12. 5. If the school bus is on time 8% of the time and you are on time 7% of the time, what is the probability that both you and the bus will be on time? 8% x 7% = .0056 = 0.56%
  • 13. 7. If Perry is late for work 4% of the time and his boss is late 8% of the time, what is the probability that both will be late? 4% x 8% = .0032 = 0.32%
  • 14. 9. If the mail is on time 98% of the time and Anthony pays his bills on time, 95% of the time, what is the probability that his bill payment will be received on time? 98% x 95% = .931 = 93.1%
  • 15. Suppose that you draw two cards with replacement from a regular deck of 52 playing cards. Find the probability of each event. <ul><li>10. Both cards are face cards. </li></ul>Clubs: Jack, Queen, King Hearts: Jack, Queen, King Diamonds: Jack, Queen, King Spades: Jack, Queen, King 12 X 12 = 52 52 144 = 2704 9 169
  • 16. Suppose that you draw two cards with replacement from a regular deck of 52 playing cards. Find the probability of each event. <ul><li>11. Both cards are number cards. </li></ul>36 X 36 = 52 52 1296 = 2704 81 169 Clubs: 2, 3, 4, 5, 6, 7, 8, 9, 10 Hearts: 2, 3, 4, 5, 6, 7, 8, 9, 10 Diamonds: 2, 3, 4, 5, 6, 7, 8, 9, 10 Spades: 2, 3, 4, 5, 6, 7, 8, 9, 10

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