David Letterman: 'I don't know why they didn't give my show to a woman'

PREVIEW: On Assignment: David Letterman

David Letterman doesn't miss late-night television at all — as a matter of fact, he "couldn't care less about" it. Also, he thinks CBS should have given his show to a woman.

"I thought for sure I would," the former "Late Show" host told Tom Brokaw when asked if he misses the day part. "And then, the first day of Stephen's [Colbert] show when he went on the air — an energy left me and I felt like, 'You know, that's not my problem anymore.' And I've kind of felt that way ever since."

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"I devoted so much time to the damage of other aspects of my life," Letterman continued. "The concentrated, fixated, focusing on that — it's good now to not have that. I couldn't care less about late-night television."

"I'm happy for the guys — men and women — there should be more women," he added. "And I don't know why they didn't give my show to a woman. That would have been fine. You know, I'm happy for their success. And they're doing things I couldn't do. So that's great."

Later, Brokaw poses the question of if CBS asked Letterman's opinion on who should replace him.

"No. Oh, no. No, they didn't ask me about anything," the bearded comic said. "They were just — they were just happy I was going."

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David Letterman: 'I don't know why they didn't give my show to a woman'
NEW YORK, UNITED STATES: US Vice President and Democratic presidential candidate Al Gore (R) with talk show host David Letterman 14 September, 2000 after the taping of Letterman's show at the Sullivan Theater in New York City. AFP PHOTO/ Luke FRAZZA (Photo credit should read LUKE FRAZZA/AFP/Getty Images)
NEW YORK, UNITED STATES: Republican presidental candidate and Texas Governor George W. Bush (L) poses for photographers with David Letterman after concluding taping of the 19 October 2000 Late Show with David Letterman in New York. Bush read the Top Ten list poking fun at what he might do if elected. AFP Photo by Paul J. RICHARDS (Photo credit should read PAUL J. RICHARDS/AFP/Getty Images)
BAGHDAD, IRAQ - DECEMBER 24: In this handout photo provided by the U.S. Air Force, 'Late Show' television host David Letterman entertains soldiers at the Coalition Provisional Authority headquarters December 24, 2003 in Baghdad, Iraq. (Photo by Reynaldo Ramon/U.S. Air Force via Getty Images)
NEW YORK - MAY 7: Tina Fey takes off her dress after her last appearance on the CBS Late Show with David Letterman, Thursday May 7, 2015 on the CBS Television Network (Photo by John Paul Filo/CBS via Getty Images)

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