Probability by Jim Smith

Probability by Jim Smith - Transcript

SPI 3108 5 1

JIM SMITH JCHS JIM

THE PROBABILITY THAT SOMETHING WILL HAPPEN IS THE NUMBER OF SUCCESSFUL THE OUTCOMES OVER THE TOTAL OUTCOMES NUMBER OF OUTCOMES NUMBER

LET S LOOK AT A DIE IF YOU ROLL ONE DIE THERE IS ONLY 1 WAY TO GET A 3 SO 1 WILL BE THE NUMBER OF SUCCESSFUL OUTCOMES YOU CAN ROLL ANY ONE OF 6 NUMBERS SO THERE ARE 6 POSSIBLE OUTCOMES 6 WILL BE THE TOTAL NUMBER OF OUTCOMES WITH 1 DIE THE PROBABILITY OF ROLLING A 3 IS

1 6

WHAT IS THE PROBABILITY OF ROLLING A 5 ROLLING WHAT IS THE PROBABILITY OF ROLLING A 2 ROLLING WHAT IS THE PROBABILITY OF ROLLING A 7 ROLLING

LET S USE 2 DICE NOW OUR NUMBERS CHANGE THE TOTAL NUMBER OF POSSIBLE OUTCOMES NUMBER INCREASES FOR EVERY NUMBER INCREASES WE CAN ROLL ON ONE DIE WE CAN ROLL ONE OF SIX NUMBERS ON THE SECOND DIE ON

HERE IS A TABLE HERE
DIE 1 1 2 3 4 5 6 DIE 2 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6

36 possibilities 36

HOW MANY WAYS CAN YOU ROLL A 5 ROLL

Die 1 1 2 3 4

Die 2 4 3 2 1

4 SUCCESSFUL OUTCOMES

WHAT IS THE PROBABILITY OF WHAT ROLLING A 5 WITH 2 DICE

4 36 or 1 9

PROBABILITY THAT INVOLVES PROBABILITY A GEOMETRIC MEASUREMENT SUCH AS LENGTH OR AREA IS CALLED

LET S LOOK AT GAME BOARDS LET S
THE PROBABILITY THE THAT A DART WILL HIT A CERTAIN COLOR IS THE AREA OF THAT COLOR OVER THE AREA OF THE WHOLE BOARD WHOLE

IF THE BOARD IS DIVIDED INTO 4 EQUAL IF PARTS THEN THE PROBABILITY OF HITTING GREEN IS HITTING

1 4
THE PROBABILITY OF HITTING BLUE IS HITTING

2 4 1 2
THE PROBABILITY OF HITTING BLACK IS HITTING

1 4

FIND THE PROBABILITY OF A DART LANDING IN DART

THE DARK BLUE

10 25 2 5 THE LIGHT BLUE 7 25
THE BROWN THE GREEN

3 25 5 25 1 5

6 6

FIND FIND THE PROBABILITY OF A DART LANDING IN DART THE BLACK AREA

6
AREA OF SQUARE AREA OF CIRCLE OVER OVER AREA OF SQUARE AREA

6

3

AREA OF SQUARE AREA OF CIRCLE OVER OVER AREA OF SQUARE AREA

6

6

6X6 3 6X6 6X6 1

36 9 36 36
4

4

4 4

FIND THE PROBABILITY OF A SPINNER STOPING ON

60 60

GREEN 90 360 1 4 25 25 BLUE 60 360 1 6 17 17

YELLOW 250 360 25 36 694 69