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Page 973, 10.3, 1-14

Page 973, 10.3, 1-14. 10 35 56 9 120 60 1 7% 43%. 10. 38% 11. Permutation 12. Permutation 13. Combination 14. Combination, 18%. Using Addition with Probability. Essential Question. How do I find the probability of inclusive and mutually exclusive events?. Steps….

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Page 973, 10.3, 1-14

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  1. Page 973, 10.3, 1-14 • 10 • 35 • 56 • 9 • 120 • 60 • 1 • 7% • 43% 10. 38% 11. Permutation 12. Permutation 13. Combination 14. Combination, 18%

  2. Using Addition with Probability

  3. Essential Question How do I find the probability of inclusive and mutually exclusive events?

  4. Steps… • Determine if the events are inclusive or mutually exclusive. • Choose the correct formula Inclusive: p(A or B)=p(A)+p(B) – p(A and B) Exclusive: p(A or B)=p(A) + p(B) 3. Substitute into the formula and simplify to find the probability (leave answers in simplest fractional form).

  5. Inclusive Events • Events that can occur at the same time Ex. Rolling a 2 or an even number on one roll of a number cube.

  6. Mutually Exclusive Events • Events that cannot occur at the same time Ex. Selecting a red card or an ace of spades from a deck of cards.

  7. Example 1 Rolling a number cube once – label the problem Inclusive or Mutually Exclusive and find the probability of each event: A 1 or 4 is rolled Inclusive or Mutually Exclusive? Mutually Exclusive p(A) + p(B) 1/6 + 1/6 = 2/6 = 1/3

  8. Example 2 Rolling a number cube – label I or ME and find the probability of the event: Rolling a number greater than 2, or a 6. I or ME? Inclusive p(A)+p(B) – p(A and B) 4/6 + 1/6 – 1/6 = 4/6 = 2/3

  9. Open your book to page 656 We are going to do #’s 16 and 20 together.

  10. Assignment: Pg 656 #’s 4-5, 7-27 all (4 and 5 refer to a table on page 654)

  11. Do Now A number cube is rolled once, and the number on the top face is recorded. Label the event I or ME, then find the probability. • 4 or 5 • Even # or a 6 • Odd # or a 2 • A # less than 3 or a 1

  12. Pg. 656 4-5, 7-27 • 16/25 (64%) • 59/100 (59%) • 1/3 • 1/3 • 2/3 • 2/3 • ½ • 2/3 • 5/6 • 1/2 • 1 • ME, 1/9 • ME, 1/6 • ME, ¾ • ME, 25/36 • I, 35/36 • I, 5/6 • I, 1 • I, 1 • ME, 5/6

  13. Continued… • ME, 13/18 • ME, 1 • I, 1

  14. Assignment Pg. 973 10.4, 1-14 all Worksheet 10.4, 1-15 all

  15. Pg. 973 10.4, #’s 1-14 all • ME, 2/13 • I, 7/13 • I, 25/26 • I, 1 • ME, 1 • I, 3/13 • ½ • ½ • 2/3 • 1 • 3/5 • 3/10 • 4/5 • 3/5

  16. Worksheet 10.4 #’s 1-15 • I, 4/13 • ME, 6/13 • I, 19/26 • I, 3/4 • ME, 27/52 • I, 41/52 • 5/8 • 5/8 • 3/8 • ¾ • 19/36 • 13/36 • 5/9 • 11/18 • 5/18

  17. Do Now A card is drawn at random from a standard deck. Tell whether the events are ME or I. Then find the probability. • A Jack or a red card • A 3 or a 4 • A face card or an Ace • A diamond or not a heart

  18. Assignment A card is randomly drawn from a standard deck. Label ME or I and find the probability. • A queen or a heart – • A king or a two – • A heart or a diamond – • A five or a six – • A three or a face card –

  19. Assignment continued Using the table on page 656 – label the events ME or I and find the probability. • A sum of 3 or a sum of 5 – • A sum of less than 4 or sum of greater than 6 – • A sum of 10 or a sum of 8 – • A sum of greater than 3 or a sum of greater than 7 –

  20. Assignment • A product of greater than 5 or a product of less than 8 – • A product of less than 15 or a product greater than 10 – • A product of less than 6 or a product greater than 12 –

  21. Table • A House Dem. or a Senate Repub. - • A House Repub. or a Senate Democrat • A Dem or a Senator Find the probability that a randomly selected member of Congress is the following: • A Republican or a Senator –

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