Alexandre has two brothers: Hugo and Roman. Every day Roman draws a name out of a hat to randomly select one of the three brothers to wash the dishes. Alexandre suspected that Roman is cheating, so he kept track of the draws, and found that out of 12 draws, Roman didn't get picked even once. Let's test the hypothesis that each brother has an equal chance of of getting picked in each draw versus the alternative that Roman's probability is lower. Assuming the hypothesis is correct, what is the probability of Roman not getting picked even once out of 12 times? Round your answer, if necessary, to the nearest tenth of a percent.​