It may be even lower than that. We can look at it in three parts:

1. Fail 3 Hasty Touches: .3 * .3 * .3 = .027

AND

2. Pass 4 Hasty Touches: .7 * .7 * .7 * .7 = .2401

AND

3. Fail Reclaim: .1

Combining all of those gives .027 * .2401 * .1 = .065% (Unless you're me, that is. I'd fail at least 6 more often than not, probably. -.-)