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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