Monday, 16 May 2016

11/05/2016

11/05/2016                                                   Section 3: Methods of determining possible outcomes
11/05/2016                                                  Afdeling 3: Metodes om moontlike uitkomste te bepaal.

Tree diagrams
Boomdiagramme

The HE, SHE, FLIP A COIN game
Die HY, SY, SKIET ‘n MUNTSTUK spelletjie

-          1st girls flip a coin.                                                   - 1st skiet die meisie die muntstuk
-          2nd boys flip a coin.                                                 - 2de skiet die seuns die muntstuk

Conditions:
Voorwaardes:
-          If both of the coins landed on HEADS [female give the male 3 points/sweets]
As beide op KOP land [meisies gee die seuns 3 punte].

-          If both of the coins landed on TAILS [female give the male 1 point/sweet]
As beide op STERT land [meisies gee die seunrs 1 punt].

-          If the boy’s coin not the same as the girl’s coin [male give the female 2 points/sweets]
As die seuns se muntstuk nie dieselfde is as die meisies sin nie [seuns gee meisies 2 punte].

Let’s put the possible outcomes on a tree diagram.

Determine the possible outcomes using the tree diagram:

1)      What is the probability that both coins will land on heads?

P(Both heads) = 1/4

2)      What is the probability that one coin will land on heads and the other on tails?

P(One land on tails) = 2/4

3)      P(Both tails) = 1/4

4)      P(1st H; 2nd T) = 1/4

5)      P(1st T; 2nd H) = 1/4

Bereken die moontlike uitkomste deur die boomdiagram te gebruik:

1)      Wat is die moontlikheid dat beide muntstukke op Kop sal land?

W(Beide Kop) = 1/4

2)      Wat is die waarskynlikheid dat die een muntstuk op Kop sal land en die ander op stert?

W(Een Kop en ander Stert) = 2/*4

3)      W(Beide Stert) = 1/4

4)      W(1st K; 2de S) = 1/4

5)      W(1st S; 2de K) =

Exercise 3 nr. 1 – 4 p. 146
Oefening 3 nr 1 – 4 bl. 146


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