Using search and update cursors for random number generation

I am having some trouble getting a searchcursor to return a value for each record. The purpose of my code is to scan through a list of records in a field (FieldA) and based on those values populate a second field (FieldB) with a random number between 1 and the value in FieldA. FieldA contains numeric values which vary depending on their association. My code is as follows:

CursorA = arcpy.SearchCursor(FC)
for row in cursorA:
    rowcount =(row.getValue("FieldA"))
    row = cursorA.next()
    cursorB = arcpy.UpdateCursor(FC, "FieldB") 
    for rowB in cursorB:
        rowB[0] = randint(1, rowcount)
        cursorB.updateRow(rowB)

When I run the code it appears as though the searchcursor locates the value of the last record in FieldA and uses that value as the highest value in the random sequence. I could be wrong on this however, and it could be related to improper coding on my part. Any insight is greatly appreciated.