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IB DP Maths: AA HL复习笔记4.3.2 Conditional Probability
Category:
IB课程
,
教材笔记
,
福利干货
Date: 2022年7月13日 上午10:49
Conditional Probability
What is conditional probability?
Conditional
probability
is where the probability of an
event
happening can vary depending on the outcome of a prior event
The event
A
happening
given that
event
B
has happened is denoted
A
|
B
A common example of conditional probability involves selecting multiple objects from a bag
without replacement
The probability of selecting a certain item changes depending on what was selected before
This is because the total number of items will change as they are not replaced once they have been selected
How do I calculate conditional probabilities?
Some conditional probabilities can be calculated by using counting outcomes
Probabilities without replacement can be calculated like this
For example: There are 10 balls in a bag, 6 of them are red, two of them are selected without replacement
To find the probability that the second ball selected is red given that the first one is red count how many balls are left:
How do I tell if two events are independent using conditional probabilities?
This is given in the
formula booklet
Worked Example
a) Find the probability that it is raining in Weatherville.
转载自savemyexams
Previous post: IB DP Maths: AA HL复习笔记4.3.1 Probability & Types of Events
Next post: IB DP Maths: AA HL复习笔记4.3.3 Bayes' Theorem
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