Would people survive if our solar system got sucked in a black whole

it crossed my mind when heard the tv say black whole because since the sun is part of our solar system then wouldn't we still live because then we would still have our source of light and warmth

No.

A singularity (fancy talk for black hole) that's strong enough to suck in the ENTIRE Solar System would have such a strong gravitational force that EVERYTHING would be disintegrated. Among the physics community, this is jokingly called "Spaghettification" as all matter gets stretched into a long spaghetti-like stream as it passes into the singularity.

You're fooled by the common misconception that black holes go around sucking things up. That only happens if something comes very close to the event horizon, which is tiny. Things in space don't typically get that close to each other by random chance. The odds are, as you say, astronomical. If a black hole wandered into our solar system, it would disrupt the orbits of of planets, which ones depending on how far in it wandered. Then it would leave again at the same speed it arrived, having sucked nothing up unless under the most freakish of odds.

The tidal forces would've ripped us and our Sun into little pieces before we got sucked into the event horizon. The only way we could live is if we left for another solar system before the black hole got to our solar system. There was an episode of Stargate Universe where they came across the planet their descendants from another timeline had settled and it had been evacuated by large spaceships because a black hole was arriving.

To touch on Lodar's answer, I had this picture in my camera roll that shows the orbits of stars and objects nearby a black hole. Look at how many objects orbit and do not get consumed by it.
http://t.co/ToQVGACr

I can't remember where I got the photo from, but it was most likely a Chandra data article.