1 Press Ctrl-A ©G Dear 2010 – Not to be sold/Free to use Equally Likely Outcomes Stage 6 - Year 11 Applied Mathematic (Preliminary General 1)

2 A Fair Coin Heads and tails are equally likely. A Fair Die All sides are equally likely. Counters Each counter is equally likely.

3 Coins Different sized coins are not equally likely. A Matchbox Each side is not equally likely. The Weather The weather from day-to-day is not equally likely.

4 In probability all outcomes must be equally likely.

5 P(Event) = Number of favourable outcomes Total number of outcomes P(Red) = 3838 can be a fraction. = can be a decimal. = 37.5% can be a percentage.

6 P(Event) = Number of favourable outcomes Total number of outcomes 7878 Numerator Denominator = Rule: Numerator ÷ Denominator 7 ÷ 8 =0.875

7 P(Event) = Number of favourable outcomes Total number of outcomes Rule: multiply by 100 percent =0.875 x 100%= 87.5%

8 P(A Picture Card) = 12 Standard Deck of Cards 3 13 =

9 P(Throwing an even number) = = 3 6 = 1 2 Favourable = (2, 4, 6) 3 Total =6 Tossing a single dice. (1, 2, 3, 4, 5, 6) Web 1

10 P(Throwing a Double) = ,11,21,31,41,51,6 22,12,22,32,42,52,6 33,13,23,33,43,53,6 44,14,24,34,44,54,6 55,15,25,35,45,55,6 66,16,26,36,46,56,6 = = 1 6

11 P(9) = = 4 36 = 1 9 Addition 36