Page 973, 10.3, 1-14

1. 10

2. 35

3. 56

4. 9

5. 120

6. 60

7. 1

8. 7%

9. 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…

1. Determine if the events are inclusive or mutually exclusive.

2. 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).

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 rolled

Inclusive or Mutually Exclusive?

Mutually Exclusive

p(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?

Inclusive

p(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 5

2. Even # or a 6

3. Odd # or a 2

4. A # less than 3 or a 1

Pg. 656 4-5, 7-27

4. 16/25 (64%)

5. 59/100 (59%)

7. 1/3

8. 1/3

9. 2/3

10.2/3

11.½

12.2/3

13.5/6

14.1/2

15.1

16.ME, 1/9

17.ME, 1/6

18.ME, ¾

19.ME, 25/36

20.I, 35/36

21.I, 5/6

22.I, 1

23.I, 1

24.ME, 5/6

Continued…

25.ME, 13/18

26.ME, 1

27.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 all

Worksheet 10.4, 1-15 all

Pg. 973 10.4, #’s 1-14 all

1. ME, 2/13

2. I, 7/13

3. I, 25/26

4. I, 1

5. ME, 1

6. I, 3/13

7. ½

8. ½

9. 2/3

10. 1

11. 3/5

12. 3/10

13. 4/5

14. 3/5

Worksheet 10.4 #’s 1-15

1. I, 4/13

2. ME, 6/13

3. I, 19/26

4. I, 3/4

5. ME, 27/52

6. I, 41/52

7. 5/8

8. 5/8

9. 3/8

10. ¾

11. 19/36

12. 13/36

13. 5/9

14. 11/18

15. 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 card

2. A 3 or a 4

3. A face card or an Ace

4. 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