Lesson 53 – Introduction to Probability Math 2 Honors - Santowski.

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Presentation transcript:

Lesson 53 – Introduction to Probability Math 2 Honors - Santowski

(A) Probability of Single Events  Define a formula for probability  Ex 19C; HH book, Q1,4,5,6,8,9 for in class examples  Textbook; S10.1, p633; Q4,6,7,12-19

(B) Probability of Compound Events  Compound events means that two (or more) events occurring  (a) Mutually exclusive events  when the two events have NOTHING in common  Example   (b) Inclusive events  when there is some “overlap” or something in common in the 2 events  Example 

(C) Notations  p(A)  probability of event A occurring   probability that A WILL NOT happen (referred as the COMPLEMENT of A)   p(both A and B)  probability that BOTH A and B happen  Multiplication Law   p(either A or B)  probability that EITHER A or B happen  Addition Law

(D) Probability Rules – Addition Rule  If we have compound events, then we have the following two formulas to work with  (a) for INCLUSIVE events:  (b) for EXCLUSIVE events

(E) CW/HW  Classwork  ework+_all+in+one_.pdf ework+_all+in+one_.pdf  S10.4; p656; Q6-27, 36-41

(F) Independent/Dependent Events  If we want to consider the probability of event A AND event B occurring, we must introduce 2 new terms  Two events can be considered INDEPENDENT or DEPENDENT events  If two events are INDEPENDENT, then the occurrence of event A does NOT have an effect on the probability of event B  A does not affect B  EXAMPLES   If two events are DEPENDENT, then the occurrence of event A DOES have an effect on the probability of event B

(G) Internet links   HEET%205%20Multiply%20Probability.pdf HEET%205%20Multiply%20Probability.pdf  k+_all+in+one_.pdf k+_all+in+one_.pdf   sheetWorks_Independent_Compound_Events_1.pdf sheetWorks_Independent_Compound_Events_1.pdf   dependent-events/87000/ dependent-events/87000/