A spacecraft is a vehicle, or machine designed to fly in outer space. Spacecraft are used for a variety of purposes, including communications, earth observation, etc.
A probe is a spacecraft that travels through space to collect science information.
A space probe is just a spacecraft, It can carry a telescope on-board, and many other types of detectors & instruments.
Probes do not have astronauts. Probes send data back to Earth for scientists to study.
NOTE: Above information has been taken from wikipedia and/or official websites of topics.