1. Secondary Math 2
6.2 Venn Diagrams – and/or

2. Warm up
In the college math department, there are 225 male students of which 175 are full-time. There are 200 female students, 75 of which are part-time. Label your Venn diagram with the set names MALE and PART-TIME
Male
Part-Time

3. Male Part-Time 175 75 50 125 How many people are there total?
How many part time students are there total?
What is the probability that a randomly selected student will be part-time?
What is the probability that a randomly selected student is male and part-time?
Male
Part-Time
175 75 50
125

4. Quiz 10/11 Quiz 10 Falling Objects 𝒉 𝒕 =−𝟏𝟔 𝒕 𝟐 + 𝒉 𝟎
Launching Objects
𝒉 𝒕 =−𝟏𝟔 𝒕 𝟐 + 𝒗 𝟎 𝒕+ 𝒉 𝟎
Time of Max Height
𝒕=− 𝒃 𝟐𝒂
𝒕= −𝒃± 𝒃 𝟐 −𝟒𝒂𝒄 𝟐𝐚

5. What you will Learn
You will learn how to calculate compound probability (AND/OR)

6. ANd 𝑃 𝐴 𝑎𝑛𝑑 𝐵 =𝑃 𝐴 ∗𝑃(𝐵) MULTIPLY the different probabilities
- Both things have to happen
𝑃 𝐴 𝑎𝑛𝑑 𝐵 =𝑃 𝐴 ∗𝑃(𝐵)
MULTIPLY the different probabilities A B

7. “And” Example
If you roll a die, what is the probability of it being odd and less than 5?

8. independent
The result of one does NOT affect the result of the next one.
EX:
Tossing a coin
Rolling a die
REPLACEMENT

9. dependent
The result of one in some way DOES affect the result of the next one.
EX:
Items taken without replacement

10. OR 𝑃 𝐴 𝑜𝑟 𝐵 =𝑃 𝐴 +𝑃 𝐵 −𝑃(𝐴 𝑎𝑛𝑑 𝐵)
ADD the different probabilities (subtract what they share)
- One can happen OR both can happen A B

11. “OR” Example
If you draw a card from a deck of cards, what is the probability of it being a face card or a black card?

12. Set of numbers less than or equal to 11, you pick 1.
Set A = Factors of 10
Set B = Odd numbers
Find 𝐴 𝑜𝑟 𝐵
Find 𝐴 𝑎𝑛𝑑 𝐵

13. 8)
Homework Problems:

17. 4)
Part Time
Full Time
Total
Female 80 40
120
Male 60 20
140
200

18. 9)