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I'd go a step further and say that we are already drowned. Dead in trespasses and sins (Eph.2:1-3). Then God, in His infinite mercy, revives, quickens and raises us up from the dead. He couldn't "ask" us whether we liked to be saved from death or not, He saved us out of His love because He knew we couldn't say "yes" to it anyway, as we were dead and lacked all ability of positive response. Once we realize who resurrected us from the dead and what we got saved from, joy and trust in the Savior follows.
if this was the case. God would not have spent half the scripture telling us what he did to save us, What he did to bring us to the point we can believe in him, Tell us we have no excuse for rejecting him, because he wrote his laws in our hearts. Then based on all these things, tell us to call out on his name ot be saved, Believe in him, Trust him,
He who believes is not condemned. He who DOES NOT BELIEVE is condemned already, why? because God did not chose him? No! Because he did not believe in the only son of God.