Rachel has three coins. The first coin is biased so that the probability of obtaining a head when it is thrown is \(1/3\). The second coin is biased so that the probability of obtaining a head when it is thrown is \(1/4\). The third coin is fair.

Rachel throws the three coins at the same time. The random variable \(X\) is the number of tails that she obtains.

Draw up the probability distribution table for \(X\). [3]