1. 6.4 Multiple Representations of Events Due today: 6.2
Secondary Math 2
6.4 Multiple Representations of Events
Due today: 6.2

2. Questions on 6.3 (Due after break)

3. Today you will learn…
…how to represent the probability of events in different ways

4. Reminders: 𝑃 𝐴 : Probability that “A” will happen.
𝑃 𝐴∩𝐵 : Probability that “A” AND “B”. 𝑃 𝐴∪𝐵 : Probability that “A” OR “B”.
𝑃(𝐴∣𝐵): Probability of event “A” given event “B” happened.

5. TITANIC facts – April 15th, 1912
Temperature of water: −2˚𝐶 𝑜𝑟 28.4˚F
2 hours and 40 minutes to sink
20 lifeboats on board (could carry 64)
- Only 28 people on first lifeboat (capacity of 65)

6. Before After Sitting about 2.4 miles deep Leaving on the maiden voyage
“It is a quiet and peaceful and fitting place for the remains of this greatest of sea tragedies to rest. May it forever remain that way and may God bless these found souls.”

7. Women Women Person Category Number aboard Number saved Number lost
1st Class
144
140 4
2nd Class 93 80 13
3rd Class
165 76 89
Crew 23 20 3
Total
425
316
109

8. Men Men Person Category Number aboard Number Saved Number Lost
1st Class
175 57
118
2nd Class
168 14
154
3rd Class
462 75
387
Crew
885
192
693
Total
1690
338
1352

9. Venn Diagram
Male
Survived
Female

11. Tree Diagram

12. Testing for independence
Choose one of the tests
TEST 1 𝑖𝑓 𝑷(𝑨∩𝑩)=𝑷(𝑨)∗𝑷(𝑩) 𝑡ℎ𝑒𝑛 "A" 𝑎𝑛𝑑 "B" 𝑎𝑟𝑒 𝑖𝑛𝑑𝑒𝑝𝑒𝑛𝑑𝑒𝑛𝑡
TEST 2 𝑖𝑓 𝑷 𝑨 𝑩 =𝑷 𝑨 𝑡ℎ𝑒𝑛 “𝐴” 𝑎𝑛𝑑 “𝐵” 𝑎𝑟𝑒 𝑖𝑛𝑑𝑒𝑝𝑒𝑛𝑑𝑒𝑛𝑡

13. Different Representations
Given one of the four: Find the others!
Probability statements
2-way Table
Venn Diagram
Tree Diagram

14. 1) Do you have blue eyes?

15. 1) Do you have Blue eyes?

16. 3) Do you eat breakfast?

17. For #4:
A conditional statement is a statement with the word “given” in it.
For example, for part (a), a conditional statement could be: “41 people like swimming, given they are female.”