Difference between pcond on heckprobit and probit

[Gabriel Nemer]

Suppose you're modeling the probability of being employed (call it P(E = 1)) and you identify there'se a selection going on entering the labor force. So you model if through heckprobit, for example:

heckprobit employed age agesq education educationsq, sel(laborforce = age agesq education educationsq children married)

Then you predict the conditional probability:

predict pconditional, pcond

What is the difference between pconditional and the probability below:

probit employed age agesq education educationsq if laborforce == 1

predict phat

Shouldn't they be very similar?

And another question:

Heckprobit gives you the possibility of estimating p10, i.e. the probability of being employed AND out of the labor force. How is that possible?

Thanks in advance