Have to correct my math yet again. The 1/4 attack chance does not mean you will be attacked "once in 4 days". It only means 1/4 chance in ONE day. By saying an attack will occur once in 4 days, I'm suggesting the chance of an attack in a 4-day period is 1/4+1/4+1/4+1/4 = 100%, which is, of course, not true.
The chance of an attack happening in any 4-day period is calculated as below:
Chance of attack in day 1, but not in day 2-4 = 1/4 x 3/4 x 3/4 x 3/4 = 27/256.
Chance of attack in day 2, but not in day 1, 3, and 4 = 1/4 x 3/4 x 3/4 x 3/4 = 27/256.
Chance of attack in day 3, but not in day 1, 2, and 4 = 1/4 x 3/4 x 3/4 x 3/4 = 27/256.
Chance of attack in day 4, but not in day 1, 2, and 3 = 1/4 x 3/4 x 3/4 x 3/4 = 27/256.
To get the chance of an attack in ANY day in a 4-day period, you add up the above, which is 108/256 = 42%
The chance of an attack in a 7-day period = 31%