What is the chance of Pyro Ball missing all five times?

Question

To clarify, when I fought Opal in Pokemon Sword, my newly evolved Cinderace missed 5 Pyro Balls, in a row, against Opal's Mawile, with no accuracy drops, and Mawile had no evasion boosts. I know Pyro Ball is 95% accurate, so this shouldn't happen right? If possible, I would like the answer in both a unit fraction and as a percent. Thank You!

Answer 1

0.001%. the calculation is the chance to miss to the power of the number of misses, so 1/10 ^ 5 which equals 0.00001, then to convert it to a percentage you multiply it by hundred.

Comments

So, about the same as hitting 1 Focus Blast.

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Almost correct. To convert from a decimal to a percent, you multiply by 100, not 10, because 100% = 1.00

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thanks. that was faster than I expected. and if I converted it to a fraction right, that should be a 100 thousandth. man I got unlucky.

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Thank you @KRLW890 for correcting my error, I fixed the answer.