#random-variables

Question 1: Single choice

For a new email $x$ , a spam model outputs $P(Y = 1 \mid x) = 0.8$ . The email later turns out to be spam. Which statement is correct?

$Y$ is the uncertain label, $y = 1$ its observed value, and 0.8 the model's probability of $Y = 1$ 1
0.8 is the observed outcome of $Y$ for this email2
Running the same model on the same email again would generally give a different probability each time3
Because the email was spam, the model's output was wrong and should have been 14