In sending 10 characters, a character error occurs independently with probability 1/10. What is the probability that in a 10-character message, less than 3 errors occur?(adsbygoogle = window.adsbygoogle || []).push({});

I am using the binomial formula (n choose k)p^{k}(1-p)^{n-k}where n = 10, p = 1/10, and k is the number of errors. Since the problem statement says less than 3 errors occur, I adding up the values for k = 0, 1, 2

(10 choose 0)(1/10)^{0}(1-1/10)^{10}+ (10 choose 1)(1/10)^{1}(1-1/10)^{9}+ (10 choose 2)(1/10)^{2}(1-1/10)^{8}, but i am wondering if I am doing this correctly? should i be adding or multiplying?

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# Homework Help: Binomial probability

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