Let X be the set of all five digit numbers formed using 1, 1, 2, 2, 2, 4, 4, 0. For  example, $22240\in X,$ but $02244\notin X$ and $44422\notin X.$ Suppose that each element of  X has an equal chance of being chosen. Let p denote the conditional probability that an  element of X chosen at random is a multiple of 20, given that it is a multiple of 5. Then  the value of 310p is equal to