How I teach the concept of dependent and - AMESA 2007 Volume 2 by gyvwpsjkko

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									       HOW I TEACH THE CONCEPT OF DEPENDENT AND
         INDEPENDENT EVENTS TO A RURAL CHILD
                                  Zwelabantu Zuma
                  Nomafu High School, Nhlongwa, KwaZulu-Natal


I would like to share with you two activities that I have used with my learners.


INDEPENDENT EVENTS
If the outcome of the event does not affect the outcome of any other event, we say the
event is independent.


Example: Tossing a coin
Mpheme says she can toss a R5 coin three times and get a Head each time.
• Draw a tree diagram to represent the outcomes and events for three tosses.
• Can an event be both Heads and Tails?
• What is the probability that an event is Heads?
• What is the probability that she will get all Heads for the three events?
• What is the relationship between P (H1); P (H2); P(H3) and P(HHH)?
• After looking at this tree diagram Manqoba decides to bet Mpheme that he will
  toss at least two Heads out of three tosses. What is the probability of him doing
  this?


DEPENDENT EVENTS
The outcome of the event is dependent if the outcome of the succeeding event is
affected by the outcome of the preceding event.


Example: Inqina
Khulani and his colleagues are going hunting- Suppose they decide to hunt bushbuck,
impala and rabbits and see 3 bushbucks, 5 impala and 8 rabbits. They hunt 3 times a
year. One animal is enough for a hunt.
• Draw a tree diagram to represent the possible outcomes of the first hunt.
• Continue the diagram to the third hunt, given that the first catch is an impala.
   o    What is the probability that the second catch is another impala?
   o    What is the probability that the third catch is an impala?

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