Calculate the (modeled) probability P(E) using the given information, assuming that all outcomes are equally likely.

n(S) =8, n(E) =4

To calculate the probability P(E), we need to divide the number of outcomes that satisfy the event E by the total number of possible outcomes.

Given that all outcomes are equally likely, the probability P(E) can be calculated as:

P(E) = n(E) / n(S)

Here, n(S) represents the total number of possible outcomes, which is given as 8, and n(E) represents the number of outcomes that satisfy the event E, which is given as 4.

Therefore, we can substitute these values into the formula:

P(E) = 4 / 8

Now, we can simplify this fraction:

P(E) = 1/2

So, the modeled probability P(E) is 1/2 or 0.5.