What to expect of computer randomness

Now I’m looking at a question: How many 10x pulls a player need to do in order to get one 5* event hero (any hero).

I was doing pulls until an event 5* popped up. Experiment was repeated 1,000 times.

Number of summons: 1 players: 106 percent: 10.6%
Number of summons: 2 players: 98 percent: 9.8%
Number of summons: 3 players: 78 percent: 7.8%
Number of summons: 4 players: 69 percent: 6.9%
Number of summons: 5 players: 65 percent: 6.5%
Number of summons: 6 players: 63 percent: 6.3%
Number of summons: 7 players: 47 percent: 4.7%
Number of summons: 8 players: 48 percent: 4.8%
Number of summons: 9 players: 45 percent: 4.5%
Number of summons: 10 players: 39 percent: 3.9%
Number of summons: 11 players: 30 percent: 3.0%
Number of summons: 12 players: 33 percent: 3.3%
Number of summons: 13 players: 26 percent: 2.6%
Number of summons: 14 players: 21 percent: 2.1%
Number of summons: 15 players: 16 percent: 1.6%
Number of summons: 16 players: 19 percent: 1.9%
Number of summons: 17 players: 17 percent: 1.7%
Number of summons: 18 players: 15 percent: 1.5%
Number of summons: 19 players: 14 percent: 1.4%
Number of summons: 20 players: 11 percent: 1.1%
Number of summons: 21 players: 13 percent: 1.3%
Number of summons: 22 players: 12 percent: 1.2%
Number of summons: 23 players: 6 percent: 0.6%
Number of summons: 24 players: 13 percent: 1.3%
Number of summons: 25 players: 4 percent: 0.4%
Number of summons: 26 players: 15 percent: 1.5%
Number of summons: 27 players: 5 percent: 0.5%
Number of summons: 28 players: 7 percent: 0.7%
Number of summons: 29 players: 9 percent: 0.9%
Number of summons: 30 players: 4 percent: 0.4%
Number of summons: 31 players: 5 percent: 0.5%
Number of summons: 32 players: 8 percent: 0.8%
Number of summons: 33 players: 7 percent: 0.7%
Number of summons: 34 players: 2 percent: 0.2%
Number of summons: 35 players: 2 percent: 0.2%
Number of summons: 36 players: 2 percent: 0.2%
Number of summons: 37 players: 3 percent: 0.3%
Number of summons: 38 players: 2 percent: 0.2%
Number of summons: 40 players: 3 percent: 0.3%
Number of summons: 41 players: 2 percent: 0.2%
Number of summons: 44 players: 1 percent: 0.1%
Number of summons: 45 players: 4 percent: 0.4%
Number of summons: 46 players: 1 percent: 0.1%
Number of summons: 47 players: 1 percent: 0.1%
Number of summons: 51 players: 1 percent: 0.1%
Number of summons: 52 players: 2 percent: 0.2%
Number of summons: 54 players: 1 percent: 0.1%
Number of summons: 55 players: 3 percent: 0.3%
Number of summons: 57 players: 1 percent: 0.1%
Number of summons: 58 players: 1 percent: 0.1%

So, 10% are lucky enough to get an event 5* in a first summon. Another 10% need 2 10x summons. The most unlucky guy will not get 5* unless they did 58 pulls.