Difference between revisions of "Conditional probability"
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Revision as of 21:21, 28 June 2024
Conditional probability is the probability of an event occurring, assuming that another event has already occurred. is said as the probability of event B given A
Contents
Example
Let us say that 2 fair 6 sided dice are rolled and their face up values sum is 6. What is the probability that the face up value of the one dice is 2?
Solution
Let call the first dice and the second one
. There are 5 ways for
and 2 of those ways (distinct) includes a 2. Therefore, our answer is
.
Formula
The formula for conditional probability is where
represents the conditional probability.
is also said as the probability of event B occurring given event A occurs.
is the probability
.
Different cases
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