15% Chance daily.
That means that almost everyone will get one new exotic per week. A bit on the high side.
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I might change it to if you do a certain amount of these missions in a week you will get a higher chance at an exotic on the reset, sinc Xur is also a guaranteed exotic, but he is weekly.
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No it doesn't. 15% chance every day, no stacking up
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Still, that's 15% with 21 different characters. The odds of not getting anything exotic go down to about 3%.