1. Conditional Probability
A conditional probability is the probability of an event occurring, given that another event has already occurred. The conditional probability of event B occurring, given that event A has occurred, is denoted by P(B/A) and is read as “probability of B, given A.”

2. Conditional Probability
Make up some card problems.
Explain how a card deck is put together
P(K given a Q was selected and not returned)
P(K given a K was selected and not returned)
P(K given hearts)
P(red face card given 3 black face cards are gone)
Assume we have buckets of marbles of different colors and make up some examples
Use table on page 115

3. Independent and Dependent Events
Two events are independent if the occurrence of one of he events does not affect the probability of the occurrence of the other event. Two events A and B are independent if
P(B/A) = P(B) or if P(A/B) = P(A)
Events that are not independent are dependent.

4. Are the following Independent and Dependent Events?
Selecting cards with replacement
Selecting cards w/o replacement
Rolling a die and picking a card
Graduating HS and going to college
Making a pie and eating it
Learning to ride a horse and playing golf
Making parts and then assembling them
Learning to drive a car and getting a good grade on you math test.
Practice piano and being a concert pianist

5. Multiplication Rule for the Probability of A and B
The probability that two events A and B will occur in sequence is
P(A and B) = P(A)  P(B/A)
If events A and B are independent, then the rule can be simplified to
P(A and B) = P(A)  P(B)
This simplification rule can be extended for any number of events.

6. Determine if the following dependent or not, then find the probability
Drawing a king then a queen
Drawing a face card and rolling more than 6 on a pair of die
Drawing 3 hearts in sequence
Drawing 3 deuces in sequence