A2M4L5 ­ SB Venn Diagrams.notebook
Venn Diagrams
1) How to draw a venn diagram
2) How to Shade
3) How to add and subtract probabilities
4) How to determine probabilities
March 31, 2016
A2M4L5 ­ SB Venn Diagrams.notebook
March 31, 2016
Example 1: Shading Regions of a Venn Diagram At a high school, some students participate in sports, and some do not. Also, some students play in the band, and some do not. Circle S = students that participate in sports
Circle B = students that participate in band
rectangle represents all of the students in the school
intersection
union
A2M4L5 ­ SB Venn Diagrams.notebook
March 31, 2016
Example 1: Shading Regions of a Venn Diagram
At a high school, some students play soccer, and some do not.
Also, some students play basketball, and some do not. Circle S represents students who play soccer
Circle B represents students who play basketball
Rectangle represents all of the students in the high school
a) Play Soccer
b) do not play soccer
c) Play soccer and basketball d) play soccer or basketball
A) 442 students participate in organized sports but do not play in the band.
B) 31 students play in the band but do not participate in organized sports.
C) 21 students participate in organized sports and play in the band.
D) 339 students neither participate in organized sports or play in the band.
A2M4L5 ­ SB Venn Diagrams.notebook
March 31, 2016
How many students participate in organized sports?
How many students play in the band?
How many students participate in organized sports or play in the band? (or includes the possibility of both)
Circle S represents students who play soccer
Circle B represents students who play basketball
Rectangle represents all of the students in the high school
Complete the Venn Diagram
a) 230 play soccer
b) 190 play basketball
c) 60 play both sports
d) 500 students at the school
A2M4L5 ­ SB Venn Diagrams.notebook
March 31, 2016
When a fish is selected at random from a tank, the probability that it has a green tail is 0.64, the probability that it has red fins is 0.25, and the probability that it has both a green tail and red fins is 0.19.
Draw a venn diagram to represent this information.
Find the following probabilities:
a) The fish has red fins but does not have a green tail.
b) The fish has a green tail but not red fins.
c) neither a green tail or red fins. Complete the table below showing the probabilities of the events.
Not Green Green Tail
Total
Tail
Red Fins
Not Red Fins
Total
A2M4L5 ­ SB Venn Diagrams.notebook
March 31, 2016
Lesson Summary
In a probability experiment, the events can be represented by circles in a
Venn diagram. Combinations of events using and, or, and not can be shown by shading the appropriate regions of the Venn diagram.
The number of possible outcomes can be shown in each region of the Venn diagram; alternatively, probabilities may be shown. The number of outcomes in a given region (or the probability associated with it) can be