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https://www.youtube.com/watch?v=LSWau3pTyIg
TITLE: “Bobby Fischer Meets Bob Hope – Hilarious!”
6:37 duration
Bobby delivers his jokes pretty well. 
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I remember that skit with Hope and Fischer. Bob Hope liked to do a lot of topical humor on his specials. It was natural for him to have Fischer on to trade jokes. Fischer did a fine job and displayed good timing. He looked relaxed and amused by the antics. As one Youtube commenter said, “Oh, if only we could have had that Fischer for twenty years!”
I remember seeing that show as well 'way back then.
As I recall, Bob Hope was portraying Spassky as a stereotypical Mad Russian, which explains the fur hat and the vodka swilling. He’d sit at the board and do a bit of schtick, still checking the time and waiting for Fischer to show up, just before every commercial break, until finally Bobby made his appearance late in the show.