English: Graphs of probability P of not observing independent events each of probability p after n trials vs n p for various p. The graphs are actually discrete points as n are integers but drawn as continuous for clarity. 3 examples are shown:

• Blue arrow: Throwing a 6-sided die 6 times gives 33.5% chance that 6 never turns up; it can be observed that as n increases, the probability that a 1/n-chance event never appears after n tries rapidly converges to 1/e.
• Grey arrow: To get 50-50 chance of throwing a Yahtzee (5 cubic dice all showing the same number) requires 0.69 × 1296 ~ 898 throws.
• Green arrow: Drawing a card from a deck of playing cards without jokers 100 (1.92 × 52) times with replacement gives 85.7% chance of drawing the ace of spades at least once.

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