A probate judge in Los Angeles ruled yesterday that the executor of the Conrad Hilton estate may vote its controlling block of stock in Hilton Hotels in favor of management's anti-takeover proposals at Monday's annual stockholders' meeting.

Rejecting the California attorney general's contention that executor James Bates has a conflict of interest because he also is a Hilton director, Judge Robert I. Weil held that voting the stock was well within the business discretion allowed Bates.

Voting of the estate's 27.4 percent Hilton stake for the proposals, as Bates has said he will do, is expected to go a long way toward assuring their passage.

Weil's decision was a setback to Las Vegas-based casino operator Golden Nugget, which has made overtures toward acquiring the controlling Hilton interest and which has worked against the anti-takeover proposals. because he also is a Hilton director, Judge Robert I. Weil held that voting the stock was well within the business discretion allowed Bates.

Voting of the estate's 27.4 percent Hilton stake for the proposals, as Bates has said he will do, is expected to go a long way toward assuring their passage.

Weil's decision was a setback to Las Vegas-based casino operator Golden Nugget, which has made overtures toward acquiring the controlling Hilton interest and which has worked against the anti-takeover proposals.