A finite group $G$ is said mixable if it admits a random product $g_1^{\epsilon_1}g_2^{\epsilon_2}\ldots g_k^{\epsilon_k}$ , where $g_1, g_2, \ldots, g_k$ are fixed elements of $G$ and $\epsilon_1, \epsilon_2, \ldots$ , $\epsilon_k$ are independent Bernoulli random variables, that is distributed uniformly on $G$ .

It is conjectured that the mixable groups are precisely the groups having no odd order quotients. We prove that this conjecture is true in the case of solvable groups and in some other context.