WARMUPS
NONE; SIT DOWN QUIETLY. TIME TO PASS BACK YOUR TESTS
WARMUPS
[(9-5) x 6] + 42 x 3 = IN 1996 780,000,000 CDs WERE
SHIPPED IN HE U.S.. WHAT IS ANOTHER WAY OF EXPESSING THIS LARGE NUMBER?
WHAT IS THE VALUE OF 34 - 25
COUNTING
CHAPTER 10-5
COUNTING
USED TO DETERMINE POSSIBLE STATISTICAL OUTCOMES
PROCESS USED IN GENETIC ENGINEERING
USED IN GROWING PLANTS TELLS US HOW MANY WAYS THINGS
CAN BE COMBINED
TWO METHODS OF ìCOUNTINGî
TREE DIAGRAMS FUNDAMENTAL
COUNTING PRINCIPLE
TWO METHODS OF ìCOUNTINGî
TREE DIAGRAMS FUNDAMENTAL
COUNTING PRINCIPLE
TREE DIAGRAM
A TREE DIAGRAM IS A LINE SCHEMATIC THAT LINKS ALL POSSIBLE OUTCOMES
X AX
A Y AY
Z AZ
X BX
B Y BY
Z BZ
TREE DIAGRAM
IF MEL HAS TWO CARS WITH THE OPTION OF THREE COLORS. WHAT IS THE POSSIBLE CAR COLOR COMBINATIONS ARE THERE
TREE DIAGRAM
IF MEL HAS TWO CARS WITH THE OPTION OF THREE COLORS. WHAT IS THE POSSIBLE CAR COLOR COMBINATIONS ARE THERE
RED HONDA/RED
HONDA
TREE DIAGRAM
IF MEL HAS TWO CARS WITH THE OPTION OF THREE COLORS. WHAT IS THE POSSIBLE CAR COLOR COMBINATIONS ARE THERE
RED HONDA/RED
HONDA BLUE HONDA/BLUE
TREE DIAGRAM
IF MEL HAS TWO CARS WITH THE OPTION OF THREE COLORS. WHAT IS THE POSSIBLE CAR COLOR COMBINATIONS ARE THERE
RED HONDA/RED
HONDA BLUE HONDA/BLUE
GREEN HONDA/GREEN
TREE DIAGRAM
IF MEL HAS TWO CARS WITH THE OPTION OF THREE COLORS. WHAT IS THE POSSIBLE CAR COLOR COMBINATIONS ARE THERE
RED HONDA/RED
HONDA BLUE HONDA/BLUE
GREEN HONDA/GREEN
RED FORD/RED
FORD
TREE DIAGRAM
IF MEL HAS TWO CARS WITH THE OPTION OF THREE COLORS. WHAT IS THE POSSIBLE CAR COLOR COMBINATIONS ARE THERE
RED HONDA/RED
HONDA BLUE HONDA/BLUE
GREEN HONDA/GREEN
RED FORD/RED
FORD BLUE FORD/BLUE
TREE DIAGRAM
IF MEL HAS TWO CARS WITH THE OPTION OF THREE COLORS. WHAT IS THE POSSIBLE CAR COLOR COMBINATIONS ARE THERE?
RED HONDA/RED
HONDA BLUE HONDA/BLUE
GREEN HONDA/GREEN
RED FORD/RED
FORD BLUE FORD/BLUE
GREEN FORD/GREEM
TREE DIAGRAM IF MEL HAS TWO
CARS WITH THE OPTION OF THREE COLORS. WHAT IS THE POSSIBLE CAR COLOR COMBINATIONS ARE THERE?
THERE ARE 6 POSSIBLE OUTCOMES
RED HONDA/RED
HONDA BLUE HONDA/BLUE
GREEN HONDA/GREEN
RED FORD/RED
FORD BLUE FORD/BLUE
GREEN FORD/GREEM
TWO METHODS OF ìCOUNTINGî
TREE DIAGRAMS FUNDAMENTAL
COUNTING PRINCIPLE
FUNDAMENTAL COUNTING PRINCIPLE
IF EVENT M CAN OCCUR IN m WAYS, IS FOLLOWED BY EVENT N THAT CAN OCCUR IN n WAYS, THEN THE EVENT M FOLLOWED BY EVENT N CAN OCCUR IN m TIMES n WAYS.
FUNDAMENTAL COUNTING PRINCIPLE
SUPPOSE I HAVE 6 DIFFERENT CAR MODELS AND 9 DIFFERENT PAINT SCHEMES. HOW MAY DIFFERENT CAR/PAINT COMBINATIONS CAN I HAVE?
FUNDAMENTAL COUNTING PRINCIPLE
SUPPOSE I HAVE 6 DIFFERENT CAR MODELS AND 9 DIFFERENT PAINT SCHEMES. HOW MAY DIFFERENT CAR/PAINT COMBINATIONS CAN I HAVE?
9 6 54x
YOU DO THE MATH
YOU DO THE MATH
A DICE IS ROLLED TWICE. HOW MANY POSSIBLE OUTCOMES ARE THERE?
YOU DO THE MATH
1 11
2 12
1 3 13
4 14
5 15
6 16
YOU DO THE MATH
1 11
2 12
1 3 13
4 14
5 15
6 16
6 POSSIBILITIES
YOU DO THE MATH
1 21
2 22
2 3 23
4 24
5 25
6 26
YOU DO THE MATH
1 21
2 22
2 3 23
4 24
5 25
6 26
6 POSSIBILITIES
YOU DO THE MATH
1 31
2 32
3 3 33
4 34
5 35
6 36
YOU DO THE MATH
1 31
2 32
3 3 33
4 34
5 35
6 36
6 POSSIBILITIES
YOU DO THE MATH
1 41
2 42
4 3 43
4 44
5 45
6 46
YOU DO THE MATH
1 41
2 42
4 3 43
4 44
5 45
6 46
6 POSSIBILITIES
YOU DO THE MATH
1 51
2 52
5 3 53
4 54
5 55
6 56
YOU DO THE MATH
1 51
2 52
5 3 53
4 54
5 55
6 56
6 POSSIBILITIES
YOU DO THE MATH
1 61
2 62
6 3 63
4 64
5 65
6 66
YOU DO THE MATH
1 61
2 62
6 3 63
4 64
5 65
6 66
6 POSSIBILITIES
ALL TOGETHER
FOR 1’S - 6 POSSIBILITIES FOR 2’S - 6 POSSIBLITIES FOR 3’S - 6 POSSIBILITIES FOR 4’S - 6 POSSIBILITIES FOR 5’S - 6 POSSIBILITIES FOR 6’S - 6 POSSIBILITIES
ALL TOGETHER
FOR 1’S - 6 POSSIBILITIES FOR 2’S - 6 POSSIBLITIES FOR 3’S - 6 POSSIBILITIES FOR 4’S - 6 POSSIBILITIES FOR 5’S - 6 POSSIBILITIES FOR 6’S - 6 POSSIBILITIES
TOTAL OF
36 POSSIBILITIES
IN ALL
36 POSSIBILITIES
11 12 13 14 15 16
21 22 23 24 25 26
31 32 33 34 35 36
41 42 43 44 45 46
51 52 53 54 55 56
61 62 63 64 65 66
PROBABILITY
PROBABILTIY IS THE CHANCE AN EVENT WILL HAPPEN
PROBABILITY = NUMBER OF FAVORABLE OUTCOMES DIVIDED BY POSSIBLE OUTCOMES
YOU DO THE MATH
A DICE IS ROLLED TWICE. WE FOUND OUT THAT THERE WERE 36 POSSIBLE OUTCOMES.
WHAT IS THE PROBABILITY OF ROLLING TWO 1’S?
PROBABILITY PROBABILITY = FAVORABLE OUTCOMES POSSIBLE OUTCOMES
PROBABILITY = 1 36
1/36 OR 1:36 OR .027
DO IN CLASS: PAGE 652-653, EXERCISES DO 1 TO 20.