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Source wikipedia:
Certainty:
Up until 2012, there was no way to know whether the possible collision was definitely going to happen or not.In 2012, researchers came to the conclusion that the collision is definite after using the Hubble Space Telescope between 2002 and 2010 to track the motion of Andromeda.Such collisions are relatively common. Andromeda, for example, is believed to have collided with at least one other galaxy in the past,and several dwarf galaxies such as SagDEG are currently colliding with the Milky Way and being merged into it.
These studies also suggest that M33, the Triangulum Galaxy – the third largest and brightest galaxy of the Local Group – will participate in this event. Its most likely fate is to end up orbiting the merger remnant of the Milky Way and Andromeda galaxies to merge with it in an even farther future, but a collision with the Milky Way before our galaxy collides with M31 or being ejected from the Local Group cannot be ruled out.
The fate of the Solar System :
Two scientists with the Harvard–Smithsonian Center for Astrophysics stated that when, and even whether, the two galaxies collide will depend on Andromeda's transverse velocity.Based on current calculations they predict a 50% chance that in a merged galaxy the solar system will be swept out three times farther from the galactic core than it is currently located.They also predict a 12% chance that the Solar System will be ejected from the new galaxy some time during the collision.Such an event would have no adverse effect on the system and the chances of any sort of disturbance to the Sun or planets themselves may be remote.
Without intervention, by the time that the two galaxies collide, the surface of the Earth will have already become far too hot for liquid water to exist, ending all terrestrial life, which is currently estimated to occur in about 3.75 billion years due to gradually increasing luminosity of the Sun.