Chances of getting Shards in Daily Events

The chances of getting a Shard in a daily event are as follows:

Completed runs Chance of success Chance of Failure
1 run 40% 60%
2 runs 64% 36%
3 runs ~78% ~22%
4 runs ~87% ~13%
5 runs ~92% ~8%
6 runs ~95% ~5%
7 runs ~97% ~1 in 35
8 runs ~98% ~1 in 60
9 runs >99% `~1 in 100
10 runs >99% ~1 in 170
11 runs >99% ~1 in 280
12 runs >99% ~1 in 460