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%

Using Addition with Probability

Essential Question

How do I find the probability of inclusive and mutually exclusive events?

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).

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.

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.

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

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

Open your book to page 656

We are going to do #’s 16 and 20 together.

Assignment:

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

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

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

Continued…

25.ME, 13/1826.ME, 127.I, 1

(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)

Assignment

Pg. 973 10.4, 1-14 allWorksheet 10.4, 1-15 all

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

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

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

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 –

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 –

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 –

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