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Lecture 9

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MATH 141 Lecture 9: Statistics 10/11/2016
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Bloomsburg University

MATH - Mathematics

MATH 141

Zhang

Fall

Description

Statistics
10/11/2016
Conditional probability and its application – Case difference
Independent/Dependent events
Let say we have events A and B.
If the result of event A does NOT influence the result of event B, we say these events are
independent. Otherwise, they are dependent.
If event A and B are independent,
because we need to get event A done first step and B for the second step.
Rolling a fair dice
What is the probability of obtaining a ‘2’ = 1/6
What is the probability again of obtaining a ‘2’ if you know the number is even already?
1/3
Conditional probability
Based on an event B in the past (Reason Event: you know my number is even) to
forecast the event A (obtaining a ‘2’) in the future.
A|B: The conditional event A, given the reason event B has already happened.
P(A|B): The probability that A happens given the result of B.
A|

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