What is Conditional Probability
P(A|B)
ex: venn diagram or a tree
P(A or B)
P(A) + P(B) - P(A and B)
Conditional Probability Formula
P(A|B) = P(AnB)/P(B)
Independence
Is P(A) × P(B) = P(A and B)? Is P(B|A) = P(B)? Is P(A|B) = P(A)? If yes then the events are independent.
Independent Events
P(AandB)=P(A)P(B/A)=P(A)P(B)
Conditions of Binomial Distribution
1) Only 2 outcomes: Success or failure
2) Probability of success the same for each trial
3) Trials are independent
4) There are a fixed number of trials. A random variable, X, will count the number of successes