NCEA Results
      Year 12 and 13 students were surveyed about their NCEA results.
                                           Passed L1   Still to 
                                                       achieve
                                    M          25         30
                     Year 12
                                    F          22         23
                                    M          25         15
                     Year 13
                                    F          55          5
       A student is chosen at random. Calculate the following 
       probabilities.
       1. The student has passed level 1.
       2. A girl has not achieved level 1.
       3. The student is a female at year 12.
       4. A student who has passed is a girl in year 12.
       5. The student is a year 13 boy who is still to achieve.
       6. A boy is chosen, what is the probability that he has passed?
             Dominos
  A full set of dominos contains all the possible pairs
   of numbers from 1 to 6 plus blanks.
  1.How many dominos are there in a full set?
  2.If one domino is selected at random from a full 
   set, what is the probability it has exactly six dots 
   on it?
  I have a bag and in it are 4 beans, 2 are 
  yellow and 2 are blue.
  If I  draw two beans from the bag what is the 
  probability that they are both blue?
   I have a bag and in it are 7 beans, 2 are yellow and 5 are blue.
   If I randomly select two beans from the bag what is the probability 
   of getting one of each colour.
   If one of the beans is yellow what is the probability that the other bean 
     is blue?
         Simulation
  • A simulation imitates a 
   real situation.
  • It should act as a 
   predictor of what would 
   actually happen in 
   practice.
  • It is a model in which 
   experiments are carried 
   out so as to estimate 
   what might happen in 
   real life.