Generate random player strengths in a pyramid structure (PHP)

Question

For an online game (MMORPG) I want to create characters (players) with random strength values. The stronger the characters are, the less should exist of this sort.

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Answer 1

generate a random number between 0 and 40000, if its between 0 and 12000, assign strength 1, between 12000 and 22500 assign 2 etc.

Edit: for progressive values between 0 and 10 use the square root of a random number between 0 and 100, then substract if from 10

• rand -> strengh
• 0-1 -> 9.9 -> 9 (1%)
• 2-4 -> 9 -> 8 (2%)
• ...
• 81 - 100 -> 1 - 0 (19%)

For results between 1.1 and 9.9 the formula would be in pseudocode)

strength = 10 - sqrt(rand(1..79))