6 .4 Dependent and Independent Events

1. 6.4 Dependent and Independent Events

2. Compound Events • Events that occur at one after another

3. Coin Flip • I grab an Loonie out of my pocket……

4. Independent Event • Within a compound event, when the occurrence of one event has no effect on the occurrence of another. • This it called independent events.

5. Simple Independent Events • A coin is flipped and turns up heads. What is the probability that the second flip will turn up heads? • A coin is flipped four times and turns up heads each time. What is the probability that the fifth trail • Find the probability of tossing five heads in a row?

6. Independent Events P(A and B) = P(A) x P(B)

7. Example • Richards travels the same route to school every day. He has determined that there is a 0.7 probability that he will wait for a light somewhere and a 0.4 probability that he will hear his favorite song “Don’t Wanna miss a thing” by Aerosmith. • What is probability Richards will NOT hear favorite song and wait at light? • What is odds in favor that Richards will NOT hear favorite song and wait at light?

8. Hockey • A pro hockey team has eight wingers. 3 of these wingers are thought of as “All-Stars”. The team decided to randomly select two wingers to go to a children’s hospital to visit the children. What is the probability that 2 “All-Star” wingers will be selected?

9. Dependent Events • In a compound event, when the probability of the second event depends on the probability of the second.

10. Hockey • A pro hockey team has eight wingers. 3 of these wingers are thought of as “All-Stars”. The team decided to randomly select two wingers to go to a children’s hospital to visit the children. What is the probability that 2 “All-Star” wingers will be selected?

11. Dependent Events P(A and B) = P(A) x P(B|A)

12. Assignment • Pg 334 #’s 1-4,6,10