Hopeless= without hope, because there seems to be no possibility of comfort or success: ‘In an agony of hopeless grief’
Hopeless is usually used to describe a situation, not a person: ‘The firemen tried to get the blaze under control, but it was hopeless.’ When you say that a person is hopeless, you mean that they are unable to do something skillfully: ‘He’s hopeless at remembering names.’
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To describe someone who feels that they have little or no chance of success, especially because they have already experienced failure or disappointment, use dispirited, dejected, disheartened, discouraged, despondent or demoralized: ‘Having lost ten matches in a row, the team felt completely demoralized.’