user: ### NOW ANSWER:
Question: What round drafted was the 1b and a Signed of no cardinals - 1969 june?
Columns: ['Round', 'Name', 'Position', 'School', 'Signed']
Types: ['real', 'text', 'text', 'text', 'text']
Sample row: [1.0, 'Pat Harrison', 'INF', 'University of Southern California', 'No']
SQL:

assistant: SELECT COUNT("Round") FROM "Table" WHERE "Position" = '1b' AND "Signed" = 'no cardinals - 1969 june';