Question

Let W be the event that a randomly chosen person works for the city government. Let V be the event that a randomly chosen person will vote in the election. Place the correct event in each response box below to show: Given that the person works for the city government, the probability that a randomly chosen person has will vote in the election. Provide your answer below:

Answer 1

We can express that probability as P(V | W), the probability of V given W.

Explanation:

We know that the chosen person works for the goverment, so we have to assume W as hypothesis. Therefore, in order to calculate the probability of that person voting on the election, event noted by V, we have to condition V to the event W. As a result, we want the probability of V given W, which can be written as P(V | W), and it can be calculated using this formula

`P(V | W) = P(V \cap W) / P(W)`