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. Fun probability
Calculate the probability that two people will have the same license plate number: L###LL
Calculate the probability that two people will have the same phone number: (area code vs not)

7. 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

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

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

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

11. 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

12. “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?

13. 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

14. In a deck of cards, you draw 1
Set A = Face Cards
Set B = Red Cards
Find Probability
of 𝐴 𝑜𝑟 𝐵
of 𝐴 𝑎𝑛𝑑 𝐵

15. 2) A bag contains 4 white, 3 blue, and 6 red marbles
2) A bag contains 4 white, 3 blue, and 6 red marbles. A marble is drawn from the bag, replaced, and another marble is drawn.

16. 3) A bag contains 4 white, 3 blue, and 6 red marbles
3) A bag contains 4 white, 3 blue, and 6 red marbles. A marble is drawn from the bag, kept, and another marble is drawn.

17. 8)

21. 4)
Part Time
Full Time
Total
Female 80 40
120
Male 60 20
140
200

22. 9)