Venn Diagram

Learning Objective: Students will construct Venn diagrams to determine probabilities of compound events.

Language Objective: Students will express their reasoning in written form.

Write each number in scientific notation.
1) 0.000325 =
2) 56,000,000 =

Write each number in standard notation.

3) $3.0\times10^{-1}$  

Venn Diagrams – visual way to divide up multiple categories

Intersection: is when both events occurs. It is the overlapping of the events.
Notation: 

  $P\left(A\ and\ B\right)$  
 $P\left(A\cap B\right)$  
Remember: (Intersection = AND)

Union: is when A, B or BOTH events occur.
It is the probability of getting at least one of the events or both or the other event.

Notation:

The following Venn diagram is a survey of students in Mrs. Tucker’s class that is taking art, band, or chemistry.

A) What is the total number of students in Mrs. Tucker’s class?

B) What is the probability that Mrs. Tucker’s students are in art and band?

C) What is the probability that Mrs. Tucker’s students are band?

D) What is the probability of Mrs. Tucker’s students not taking art, band or chemistry?

Draw a Venn diagram for the following:

A guidance counselor is planning schedules for 30 students. Sixteen students say they want to take French, 16 want to take Spanish, and 11 want to take Latin. Five say they want to take both French and Latin, and of these, 3 wanted to take Spanish as well. Five want only Latin, and 8 want only Spanish. How many students want French only?

A) (𝐴 ∩ 𝐵)  

B) 𝐴 ∪ B

C) 𝐴 ∩ (𝐵 ∪ 𝐶)

Homework Due on Friday