QuestionFind the probability that a voter is a woman given that they support the president: .
Studdy Solution
STEP 1
Assumptions1. $$ is the event that a randomly chosen voter supports the president.
. $W$ is the event that a randomly chosen voter is a woman.
3. We are asked to find the probability that a randomly chosen voter is a woman, given that the voter supports the president.
STEP 2
The probability that a randomly chosen voter is a woman, given that the voter supports the president is represented in probability theory as a conditional probability. The notation for this is , which reads as "the probability of event A given event B".
STEP 3
In this case, we want to find the probability that a randomly chosen voter is a woman () given that the voter supports the president (). So, we replace $A$ with $W$ and $B$ with in the notation.
STEP 4
The correct notation for the probability that a randomly chosen voter is a woman, given that the voter supports the president isThis is the solution.
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