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?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Binomial probability

**Physics Forums | Science Articles, Homework Help, Discussion**