What is the probability of having 10 or more crashes in the first 1000 rides?

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You have recently invested in an electric skateboard. You always wear a helmet and padding to protect yourself (of course), but are worried that at some point you'll take a tumble and get scratched up. After assessing your skating ability, you estimate your probability of a crash on any single ride to be $0.005$.

I got this question while studying geometric and binomial distribution.

My current idea is

$1 - (P(x=0) + P(x=1) + P(x=2) + \ldots + P(x=9))$

where $x$ is the number of crashes, and get each probability by binomial distribution's formula.

I came up with this equation as I thought having $10$ or more crashes means same as not having $9$ or less crashes. Is my approach correct? Also, if it's correct, is there any way to simplify the calculation?