Thread: Random numbers

Independently of each other, two people think of a number between 1 and
10. What is the probability that five or more numbers will separate the

two numbers chosen at random by the two people?

Here is a suggestion. Draw a 10x10 grid.
There will be 100 lattice points, pairs of integers, (1,1) to (10,10).
Count the number pf pairs that works.
For example, the pairs (4,9) & (9,4) both work.
How many others are there?