Probability

Probability

1. m and n = m x n

2. m or n = m + n

   • "At Least 2" - 2 or more - add up all Probabilities bigger than 2
   • P(A or B) = P(A) +P(B) - P(A and B)
     • MUTUALLY EXCLUSIVE

3. Probability involves the likelihood of something happening

   • P(E) = No. of ways it can happen/ All Possible Outcomes

4. Trial = Roll a Dice, Flip a coin...

5. Possible Outcomes = All possible results of doing something

6. 0 < P(E) < 1

   • Goes from 0 to 1

7. Probability can never be negative

8. Zero Chance -> Probability = 0

9. Certain Chance -> Probability = 1

10. Probability Scale

11. Probability of event happening and the probability of it NOT happening = 1

    • P(Not E) = 1 - P(E)

12. Full Deck of Cards = 52 Cards

    • 4 suits (2 RED, 2 BLACK) with 13 cards each... Hearts, Diamonds, Clubs and Spades
    • Ace 2 3 4 5 6 7 8 9 10 Jack Queen King

13. Relative Frequency = No. of successful Trials ÷ No. of Trials

    • Expected no. of outcomes = relative frequency x No. of Trails
    • Relative Frequency is not actually the Probability of something but is a good guess... Gets more accurate with the more experiments carried out

14. Sample Space

    • Two-Way Tables
    • Tree Diagrams
      • To calculate the Probability along a path, multiply the branches

15. Expected Value = Sum of the outcomes mulltiplied by the probability

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