Luckily

(adv.) In a lucky manner; by good fortune; fortunately; -- used in a good sense; as, they luckily escaped injury.

Thesaurus Entries

accordantly, acquiescently, advantageously, affirmatively, agreeably, amelioratively, amiably, amicably, approvingly, ardently, arm in arm, as lief, assentingly, auspiciously, beneficially, benignantly, benignly, brightly, compliantly, congenially, consentingly, cordially, enthusiastically, fain, familiarly, fortunately, friendliwise, friendly, genially, good, graciously, hand in hand, happily, heartily, helpfully, helpingly, humanely, humanly, indulgently, intimately, kindheartedly, kindly, lief, lieve, luckily, melioratively, nicely, nothing loath, pleasantly, positively, profitably, promisingly, propitiously, prosperously, satisfyingly, serviceably, softheartedly, successfully, swimmingly, tenderheartedly, to advantage, to the good, ungrudgingly, ungrumblingly, unreluctantly, usefully, warmheartedly, warmly, well, willingly, with advantage, with open arms, without demur, without hesitation, without reluctance, yes