13.2 Counting The Elements Of Sets

13.2 Counting the Elements of Sets

13.2 Counting the Elements of SetsStudent Study GuideStudent Study Guide

List the integers from 1 to 20 inclusive that are1. Odd OR greater than

10

List the integers from 1 to 20 inclusive that are1. Odd OR greater than

10

1, 3, 5, 7, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20

1, 3, 5, 7, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20

List the integers from 1 to 20 inclusive that are2. Multiples of 3 AND

even

List the integers from 1 to 20 inclusive that are2. Multiples of 3 AND

even-Multiples of 3 = 3, 6, 9, 12, 15, 18

-Even = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20

-Multiples of 3 = 3, 6, 9, 12, 15, 18

-Even = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20

6, 12, 18

6, 12, 18

Each of the integers from 1 to 100 inclusive is written on a card and one card is drawn at random. Find the probability

that the integer is3. 25 OR greater than 45

Each of the integers from 1 to 100 inclusive is written on a card and one card is drawn at random. Find the probability

that the integer is3. 25 OR greater than 45

*25 = 1 outcome*Greater than 45 = 100-45 = 55

55+1=56

*25 = 1 outcome*Greater than 45 = 100-45 = 55

55+1=56

56

100

56

100

= 14 25

= 14 25

Each of the integers from 1 to 100 inclusive is written on a card and one

card is drawn at random. Find the probability that the integer is

4. Even OR less than or equal to 30

Each of the integers from 1 to 100 inclusive is written on a card and one

card is drawn at random. Find the probability that the integer is

4. Even OR less than or equal to 30-Even = 2, 4, 6, … 100 = 50-Less than or equal to 30 = 30*50+30 = 80*2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30 - repeats

*80-15 = 65

-Even = 2, 4, 6, … 100 = 50-Less than or equal to 30 = 30*50+30 = 80*2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30 - repeats

*80-15 = 65

List the integers from 1 to 20 inclusive that are multiples of the following number: 6

List the integers from 1 to 20 inclusive that are multiples of the following number: 6

6, 12, 186, 12, 18

List the integers from 1 to 20 inclusive that are multiples of the following number: 9

List the integers from 1 to 20 inclusive that are multiples of the following number: 9

9, 189, 18

List the integers from 1 to 20 inclusive that are

multiples of the following numbers: 6 AND

9

List the integers from 1 to 20 inclusive that are

multiples of the following numbers: 6 AND

96= 6, 12, 18

9= 9, 186 and 9 = 18

6= 6, 12, 189= 9, 18

6 and 9 = 18

List the integers from 1 to 20 inclusive that are

multiples of the following numbers: 6 OR 9

List the integers from 1 to 20 inclusive that are

multiples of the following numbers: 6 OR 9

6= 6, 12, 189= 9, 18

6 OR 9 = 6, 12, 9, 18

6= 6, 12, 189= 9, 18

6 OR 9 = 6, 12, 9, 18

If you draw a card at random from a complete deck of 52 playing cards what is the probability that you will draw

the cards below?9. An odd numbered card AND a red

card

If you draw a card at random from a complete deck of 52 playing cards what is the probability that you will draw

the cards below?9. An odd numbered card AND a red

cardOdd= 3, 5, 7, 9

Red= diamonds and heartsOdd and Red =

3D, 5D, 7D, 9D, 3H, 5H, 7H, 9H

Odd= 3, 5, 7, 9Red= diamonds and hearts

Odd and Red = 3D, 5D, 7D, 9D, 3H, 5H, 7H,

9H8 52

2 13

If you draw a card at random from a complete deck of 52 playing cards what is the probability that

you will draw the cards below?9. An odd numbered card OR a red card

If you draw a card at random from a complete deck of 52 playing cards what is the probability that

you will draw the cards below?9. An odd numbered card OR a red card

Odd= 1, 3, 5, 7, 9 = 5 5 x 4 (suits) = 20

Red= diamonds (13), hearts (13) *26 red cards

20+26= 46*1D, 3D, 5D, 7D, 9D, 1H, 3H, 5H, 7H, 9H

- repeat = 10*46-10=36

Odd= 1, 3, 5, 7, 9 = 5 5 x 4 (suits) = 20

Red= diamonds (13), hearts (13) *26 red cards

20+26= 46*1D, 3D, 5D, 7D, 9D, 1H, 3H, 5H, 7H, 9H

- repeat = 10*46-10=36

36 52

= 9 13

14. How many of those surveyed are freshmen AND oppose requirement?

14. How many of those surveyed are freshmen AND oppose requirement?

4

Favor R Oppose R Total

Freshman 12 4 16

Sophomore

6 8 14

Junior 9 15 24

Senior 2 21 23

Total 29 48 77

15. How many of those surveyed are freshmen OR oppose requirement?

15. How many of those surveyed are freshmen OR oppose requirement?

Freshman = 16Oppose = 4816+48 = 64

Favor R Oppose R Total

Freshman 12 4 16

Sophomore

6 8 14

Junior 9 15 24

Senior 2 21 23

Total 29 48 77

4 repeat64-4=60

16. How many of those surveyed are juniors AND favor the requirement?16. How many of those surveyed are juniors AND favor the requirement?

9

Favor R Oppose R Total

Freshman 12 4 16

Sophomore

6 8 14

Junior 9 15 24

Senior 2 21 23

Total 29 48 77

17. How many of those surveyed are juniors OR favor the requirement?

17. How many of those surveyed are juniors OR favor the requirement?

Juniors = 24Favor = 2924+29=53

Favor R Oppose R Total

Freshman 12 4 16

Sophomore

6 8 14

Junior 9 15 24

Senior 2 21 23

Total 29 48 77

9 repeat53-9=44