Stars colliding/meeting up with each other

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The likelihood of stars colliding or becoming gravitationally bound while orbiting the center of a galaxy is extremely low due to the vast distances between them. Even during the anticipated collision of the Milky Way and Andromeda galaxies in a few billion years, such events will remain rare. Collisions typically occur between stars that have been in close orbit for a long time or due to significant changes in their orbits. Gamma-ray bursts may result from the merging of neutron stars or interactions with black holes, suggesting that such events are more common over extended time frames. Overall, while rare on human timescales, stellar collisions can be considered more frequent when viewed over the lifespan of stars.
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How likely is it that when stars are orbiting the centre of a galaxy that two stars will meet and be locked together and orbit each other or collide?
 
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EXTREMELY unlikely

In a few billion years time, when our Milky Way galaxy collides with the Andromeda galaxy, collisions will still be very VERY rare.
The spaces between stars are IMMENSE, so the chances of any two random stars colliding with each other are negligible.

Stars DO collide though - bt almost always they are stars that have been orbiting each other for a LONG time, with a degrading orbit - or maybe one of them has shed some matter in it's death-throes, affecting the orbit enough to cause it to degrade.

Some Gamma ray bursts are thought to be caused by either two neutron stars coming together, or possibly a neutron star and a black hole
 
Seems to me that it would be quite common, depending on the time frame you're thinking of. Sure there's a lot of space there, but there are a lot of stars as well, and they all have plenty of gravity to pull them towards each other.
If you're thinking of the time frame of a human life, then they are very rare, but thinking by the time frame of a stellar life, they are common.
 
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