I am not good at using '...でしょう', and do not fully understand its meaning and usage. For example:
Such sentences always make me confused. Could you explain it for me?
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でしょう is polite version of だろう. That means probably, displaying conjecture.
彼女は(多分)彼の恋人だろう. She is probably his girlfriend.
It's likely the 2nd usage of でしょう similar in meaning to ね but it depends on the context but could also be the first, showing uncertainty on the side of the speaker.
He's going to the states, right?
You don't get it, do you?