What are the chances: at least once, expected count, the tail

Workflow 5 steps, run in order in one session. Every step was executed against the engine and the output below is what it produced.

Step 1

atLeastOnce[p_, n_] := 1 - (1 - p)^n

No output - this step sets something up for the next one.

Step 2

N[atLeastOnce[1/100, 50]]

Output

0.3949939328624633

Step 3

expectedHits = 50 (1/100)

Output

1/2

Step 4

atLeastTwice = N[1 - (1 - 1/100)^50 - 50 (1/100) (1 - 1/100)^49]

Output

0.08943531309603069

Step 5

Plot[atLeastOnce[1/100, n], {n, 0, 300}]

Output

-Graphics-

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