Page 40 - Math SL HB Sem 3
P. 40
) Venn Diagrams - method for picturing union/intersecUon or other relations between events.
.:.Sometimes the Venn diagram shows the number of outcomes that are favourable to the events
Sometimes it is the probabilities of the events that are shown.
'\. Example:
100 people participated in a survey about the quality of 60 TV programs.
The results are organised as follows:
35 programs are said to be worth watching, of which 8 of those are comedy.
There are in total 20 programs that are comedy.
The Venn diagram below shows the events comedy (C) and programs that are worth watching
(W). The values a, b, c, d represents the numbers of programs.
C
U d
a) Find the value ol a,b,c,d
b) Find P(C u u/)
c) Find P(C nW)'
d) Are events W and C independent?
\ solution:
q-
