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Probability

Probability. SPI 3108.5.1. JIM SMITH JCHS. Probability. THE PROBABILITY THAT SOMETHING WILL HAPPEN IS THE NUMBER OF SUCCESSFUL OUTCOMES OVER THE TOTAL NUMBER OF OUTCOMES. 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

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Probability

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  1. Probability SPI 3108.5.1 JIM SMITH JCHS

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

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

  4. WHAT IS THE PROBABILITY OF ROLLING A 5? WHAT IS THE PROBABILITY OF ROLLING A 2? WHAT IS THE PROBABILITY OF ROLLING A 7?

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

  6. HERE IS A TABLE DIE 1 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 36 possibilities

  7. HOW MANY WAYS CAN YOU ROLL A 5? • Die 1 Die 2 • 4 • 3 • 2 • 1 4 SUCCESSFUL OUTCOMES

  8. WHAT IS THE PROBABILITY OF ROLLING A 5 WITH 2 DICE? 4/36 or 1/9

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

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

  11. IF THE BOARD IS DIVIDED INTO 4 EQUAL PARTS THEN…. THE PROBABILITY OF HITTING GREEN IS 1/4 THE PROBABILITY OF HITTING BLUE IS 2/4 = 1/2 THE PROBABILITY OF HITTING BLACK IS 1/4

  12. FIND THE PROBABILITY OF A DART LANDING IN THE DARK BLUE 10/25 = 2/5 7/25 THE LIGHT BLUE 3/25 THE BROWN THE GREEN 5/25 = 1/5

  13. FIND THE PROBABILITY OF A DART LANDING IN THE BLACK AREA 6 6

  14. 6 6 AREA OF SQUARE – AREA OF CIRCLE OVER AREA OF SQUARE

  15. AREA OF SQUARE – AREA OF CIRCLE OVER AREA OF SQUARE 3 6 (6X6) – (π3²) (6X6) 6 4 1 36 - 9π 36 4 – π 4 = 4

  16. FIND THE PROBABILITY OF A SPINNER STOPING ON…. GREEN 90/360 = 1/4 .25 = 25% 60° BLUE 60/360 = 1/6 .17 = 17% YELLOW 250/360 = 25/36 .694 = 69%

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