If I role a dice, the chances of rolling an odd or even number are 50 / 50.

Supposing I ignore all indicators and strategies and on the hour I role a dice and will buy on an even number or sell on an odd number.

The SP and TP are both 10 pips. At the end of the hour I'm either 10 pips up or down ( it's 50 / 50 in theory) or I close the position as neither have been hit.

In theory, over a period of time wouldn't this strategy just break even? Wouldn't it?

So, what if I had a 20 pip TP and a 10 pip stop? In theory it would make more than it loses.

I suspect this isn't the case, but why isn't it?