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PREPARATORY PRAYER AND CHAPELS
If you make time for preparatory prayers to a specific Icon before lunging into the fray, you get a +1 modifier to rerolls when you pray to that same Icon anytime later during the session. If the prayer takes place in a chapel, your modifier becomes +2. This is in effect for the rest of the session, but only when you pray to that specific Icon (see table X.X).

Then:

MODIFICATION
A +1 modifier means you get 1 extra die, a +2 modifiers means you get 2 extra dice, and so on.

So if Hypatia offered a prayer in a temple/chapel before flying into a fray, then needs to pilot her way out of some dire situation (Agility 3 and Pilot 4), she rolls 7 dice. No successes, so she prays to the Traveller to help. Does she then get 9 dice to reroll (still adding 1 point of Darkness to the GM pool)?

Short answer: yes.

Long answer: affirmative.

You can also pray to reroll successful rolls, if you want more successes. Still one point of darkness.

Small gratitude: Thankyou.

Greater gratitude: Bwahahaha... excellent. :mischevious grin:

You can also pray to reroll successful rolls, if you want more successes. Still one point of darkness.

What this refers to is that you can decide to pray/reroll no matter whether you passed or a failed a certain roll.
When you pray/reroll, any sixes in your original roll stay put, they aren't rerolled.
Just clarifying you can't "reroll successful rolls" the way a gamer from some other system might interpret that: there is no risk of your prayer turning the success into a lesser success (or outright failure).
Obviously the more dice you roll in total, the more likely it is that rerolling despite already succeeding makes any sense - you will want to reroll many dice for it to generally be worth the Darkness Point.

Yeah, I carelessly omitted that distinction. You can never get more successes than the total number of dice rolled.

So to modify our example for clarification:

"Hypatia offered a prayer in a chapel before she embarked on adventures in deep dark space. When things get dire, she's steering a scrap heap of a ship that gives no bonus to piloting, and she's throwing 7 dice total (Agility 3 + Piloting 4). Incredibly, she rolls three successes on the first go. But that's not even enough for her, so she sends a little prayer to the Traveller again."

I take it she will get to roll SIX dice in this particular situation: Her skill plus attribute scores plus +2 modifier from chapel praying, minus the three successes she already rolled.

She rerolls four dice normally.

Five dice if she prays beforehand.

Six dice if the beforehand prayer is done in a chapel.