read Theory of Poker.

EV is the Expected Value of a given action over time, not once. Of course if your opponent has AT a raise is +EV, because he'll either call and you win or fold and you win. We get that.

The point is, you must determine a RANGE for your opponent. Here, let's assume your opponent has and Ax.

A2-A6 - opponent folds to your raise. EV of raise is zero.

AJ - EV is 0

A3, A5, A8, A9,AQ,AK - EV of raise is -(whatever you raised).

AT - EV of raise is (whatever you raised).

According to you, the EV of betting me a dollar on a coin flip is either $1 or -$1. It is zero, always. If you know which way the coin is going to flip... I don't know what to tell you.

In order for a raise to show value here, your opponent must call with more hands you beat, or fold some hands that have you beat.