Final answer:
In the sentence, 'prodigally' suggests laughter being 'spilled with prodigality,' which implies it being given freely and abundantly. Thus, it means 'generously.'
Step-by-step explanation:
In the given sentence, 'Laughter is easier minute by minute, spilled with prodigality, tipped out at a cheerful word,' the word 'prodigally' is derived from the root word 'prodigality,' which suggests lavishness or abundant generosity. Therefore, in this context, 'prodigally' most likely means to do something in a manner that is 'generous' or overflowing. The sentence describes laughter being 'spilled with prodigality,' indicating that it is being given freely and abundantly, as if there is an excess of it. This imagery points to the first option, meaning to give or use in a generous or extravagant manner.