line or a segment
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There is a plane that contains them.
A line.
The probability is 0.6187, approx.
If the hand must contain three 8's and to cards that are not 8's - the total number of possibilities is 2801.
There are different ways to answer this question. The smallest separation observable with the unaided eye is about 0.01mm The smallest observable distance between two points is about 0.4 nm, which is the resolution of the most powerful Scanning Electron Microscope. The smallest theoretical distance between two particles would be the distance between two quarks inside a neutron, which is 10-18 m. The shortest mathematical distance would be 1/infinity.