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40k Psychic Phase - Casting statistics

These tables give percentage chances for achieving certain events relating to casting Psychic powers in 40k 7th Edition. (Actually truncated or rounded down values).

They are computed by a program which iterates over every possible combination of dice rolls for the given number of dice, and counts the results.

Key

dice
Number of dice being rolled.
wc1, wc2, wc3
Psychic power Warp Charge cost of 1, 2 or 3 – percentage chance of getting at least that many successes.
perils
Percentage chance of getting at least two ’6’s and causing Perils of the Warp
perils_double
Percentage chance of getting any ‘double’ and causing Perils of the Warp with Daemonology
deny1, deny2, deny3
Percentage chance of getting 1, 2 or 3 ’6’s to deny a power with that many successes

Basic table

Casting with the normal 4+ rolls required for success.

dice wc1 wc2 wc3 perils perils_double deny1 deny2 deny3
1 50 0 0 0 0 16 0 0
2 75 25 0 2 13 30 2 0
3 87 50 12 7 39 42 7 0
4 93 68 31 13 66 51 13 1
5 96 81 50 19 86 59 19 3
6 98 89 65 26 96 66 26 6
7 99 93 77 33 99 72 33 9

Casting with reroll e.g. Spell Familiar

Note that this also increases the chance of Perils but I haven’t computed values for that.

dice wc1 wc2 wc3
1 75 0 0
2 93 43 0
3 98 75 23
4 99 90 52
5 99 96 75
6 99 98 88
7 99 99 94

Casting with 3+ e.g. Librarius Conclave

dice wc1 wc2 wc3
1 66 0 0
2 88 44 0
3 96 74 29
4 98 88 59
5 99 95 79
6 99 98 89
7 99 99 95

Casting with 2+ e.g. Librarius Conclave

dice wc1 wc2 wc3
1 83 0 0
2 97 69 0
3 99 92 57
4 99 98 86
5 99 99 96
6 99 99 99
7 99 99 99

You want to see percentages for Tigurius in a Librarius Conclave? Sorry, haven’t got to that yet.

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