- Tropicana Casino owner Frank Howell (a non-singing Dean Martin) calls Bosley and the Angels to Las Vegas to investigate some suspicious deaths that he believes are part of a plot to gaslight him.
- The Angels and Bosley head to Vegas upon being hired by Frank Howell, the owner of the Tropicana Hotel and Casino. To use his word, he, despite claiming that he hasn't an enemy in the world in he operating above board (he having won the hotel and casino outright in a craps game), believes someone is trying to "Gaslight (1944)" him, with small things not being quite right or as he remembered, with the kicker being two of his employees - a young parking lot attendant and showgirl Mary Phillips, a personal friend - being killed in the span of a week in what were both considered accidents, with the circumstances surrounding both deaths out of character. With only Frank knowing who they are, Sabrina is to go undercover as Frank's personal executive consultant, Bosley as a hotel doorman, Kelly to replace Mary's position as a dancer in the Folies Bergère production, and Kris to be a backup singer for Frank's lounge act, longtime friend and crooner, recently widowed Marty Cole, with Kelly and Kris needing to get their jobs on their own merits. Early suspects include: Mark Haines, the manager of the Dunes Hotel and Casino down the street, he who seems to have a grudge against Frank regardless of what Frank says; comic Joey January, his famous lounge act who is trying to get out of his contract with Frank for a better deal now that he has made a name for himself; and Joan Wells, Mary's roommate who seems to know all the wrong people. However, Kris believes they truly have to get to the core of Frank's being to discover what is going on. Beyond they knowing he being a high roller to the end - as demonstrated by the story of how he got the property, and how he handles a big gambling craps player openly playing the odds with a calculator and winning huge in the process - they only see him as a loner, with his longtime cook, Jip Baker, his seeming only true friend. Sabrina may not want to dig too far below the surface to find the flaws as she and Frank start to fall for each other.—Huggo
- In the third season opener, a showgirl Mary Phillips becomes the second employee of the Tropicana Hotel and Casino to perish in a deadly auto accident, Tropicana owner Frank Howell hires the Angels to establish a motive for the killings. Kelly joins the hotel's show as a dancer, while Kris is hired as the new backup singer for lounge star Marty Cole. Suspicion for the attacks falls on rival casino owner Mark Haynes, who is in cahoots with Cole to put Frank out of business. Haynes is unaware, however, that Cole has taken their plan one step further.
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