IB DP Maths: AA HL復習筆記4.3.2 Conditional Probability
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
- The probability of selecting a certain item changes depending on what was selected before
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.
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