Download - Page 973, 10.3, 1-14
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Page 973, 10.3, 1-14
1. 102. 353. 564. 95. 1206. 607. 18. 7%9. 43%
10. 38%11. Permutation12. Permutation13. Combination14. Combination, 18%
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Using Addition with Probability
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Essential Question
How do I find the probability of inclusive and mutually exclusive events?
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Steps…
1. Determine if the events are inclusive or mutually exclusive.
2. Choose the correct formulaInclusive: 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).
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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.
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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.
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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 rolledInclusive or Mutually Exclusive?Mutually Exclusivep(A) + p(B)1/6 + 1/6 = 2/6 = 1/3
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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?Inclusivep(A)+p(B) – p(A and B)4/6 + 1/6 – 1/6 = 4/6 = 2/3
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Open your book to page 656
We are going to do #’s 16 and 20 together.
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Assignment:
Pg 656 #’s 4-5, 7-27 all(4 and 5 refer to a table on page 654)
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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.
1. 4 or 52. Even # or a 63. Odd # or a 24. A # less than 3 or a 1
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Pg. 656 4-5, 7-27
4. 16/25 (64%)5. 59/100 (59%)7. 1/38. 1/39. 2/310.2/311.½12.2/313.5/614.1/2
15.116.ME, 1/917.ME, 1/618.ME, ¾19.ME, 25/3620.I, 35/3621.I, 5/622.I, 123.I, 124.ME, 5/6
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Continued…
25.ME, 13/1826.ME, 127.I, 1
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(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
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Assignment
Pg. 973 10.4, 1-14 allWorksheet 10.4, 1-15 all
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Pg. 973 10.4, #’s 1-14 all
1. ME, 2/132. I, 7/133. I, 25/264. I, 15. ME, 16. I, 3/137. ½
8. ½9. 2/310. 111. 3/512. 3/1013. 4/514. 3/5
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Worksheet 10.4 #’s 1-15
1. I, 4/132. ME, 6/133. I, 19/264. I, 3/45. ME, 27/526. I, 41/527. 5/88. 5/8
9. 3/810. ¾11. 19/3612. 13/3613. 5/914. 11/1815. 5/18
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Do Now
A card is drawn at random from a standard deck. Tell whether the events are ME or I. Then find the probability.
1. A Jack or a red card2. A 3 or a 43. A face card or an Ace4. A diamond or not a heart
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Assignment
A card is randomly drawn from a standard deck. Label ME or I and find the probability.
1. A queen or a heart – 2. A king or a two – 3. A heart or a diamond –4. A five or a six – 5. A three or a face card –
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Assignment continued
Using the table on page 656 – label the events ME or I and find the probability.
6. A sum of 3 or a sum of 5 – 7. A sum of less than 4 or sum of greater
than 6 – 8. A sum of 10 or a sum of 8 – 9. A sum of greater than 3 or a sum of
greater than 7 –
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Assignment
10.A product of greater than 5 or a product of less than 8 –
11.A product of less than 15 or a product greater than 10 –
12.A product of less than 6 or a product greater than 12 –
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Table
13.A House Dem. or a Senate Repub. -
14.A House Repub. or a Senate Democrat
15.A Dem or a Senator
Find the probability that a randomly selected member of Congress is the following:
16.A Republican or a Senator –
Democrat Republican Total
House 211 222 433
Senate 45 55 100
Total 256 277 533