What is probability, and how do you calculate the conditional probability of a given event? conditional Situation Rule Formula least one” Opposite of 1 P(0) “At “none” – Multiple outcomes mutually Add probabilities P(A∪B) = P(A) + P(B) – exclusive NOTE: P(A∩B) = 0 (no overlap for mutually exclusive events) Multiple outcomes NOT Add probabilities but P(A∪B) = P(A) + P(B) P(A∩B) subtract the – – mutually exclusive overlap *If using a Venn Diagram, just add up the 3 sections in the diagram Multiple events Independent Multiply probabilities, and account for – COMBINATIONS in which these events can occur (nCr) nCr (psuccess)# of • successes•(pfail)# of fails Multiple events Dependent Multiply probabilities – *Account for the change in probability nCr pevent 1 pevent 2 pevent • • • with each 3… *Account for combinations (nCr) NOTE: Remember these probabilities CHANGE!! Conditional Probability P(A|B) = (A B) given Topic 6: Probability Distributions 1. Know the different of random variables and how their distributions work What is the difference between a discrete and a continuous random variable? For continuous random variables, what is the probability of getting one outcome? _______ exactly How do you calculate the expected trial of a discrete random variable? What is the definition of expected (It mean something very specific)
What is conditional probability, and how do you calculate the conditional probability of a given event? Situation Rule Formula “At least one” Opposite of “none” 1 – P(0) Multiple outcomes – mutually exclusive Add probabilities P(A∪B) = P(A) + P(B) NOTE: P(A∩B) = 0 (no overlap for mutually exclusive events) Multiple outcomes – NOT mutually exclusive Add probabilities but subtract the overlap *If using a Venn Diagram, just add up the 3 sections in the diagram P(A∪B) = P(A) + P(B) – P(A∩B) Multiple events – Independent Multiply probabilities, and account for COMBINATIONS in which these events can occur (nCr) nCr • (psuccess)# of successes•(pfail)# of fails Multiple events – Dependent Multiply probabilities *Account for the change in probability with each *Account for combinations (nCr) nCr • pevent 1 • pevent 2 • pevent 3… NOTE: Remember these probabilities CHANGE!! Conditional Probability (A given B) P(A|B) = Topic 6: Probability Distributions 1. Know the different of random variables and how their distributions work What is the difference between a discrete and a continuous random variable? For continuous random variables, what is the probability of getting exactly one outcome? _______ How do you calculate the expected of a discrete random variable? What is the definition of expected (It mean something very specific) trial