Two jars contain 100 marbles each. Jar White contains white marbles and Jar Black contains black marbles. The jars are mixed as follows:

. Half of the marbles in Jar White are poured into Jar Black

. Jar Black is mixed evenly and half of the marbles of Jar Balck are poured into Jar White

Jar White is mixed evenly and a third of the the marbles are poured into Jar Black

At the end of the third step, what is the probability that a random marble picked from Jar Black is not white?