Probability of Selecting At Least One Red Ball

A bag contains 5 red balls, 3 blue balls, and 2 green balls. If you randomly select 3 balls from the bag without replacement, what is the probability that at least one ball is red?

To solve this, consider the total number of balls and the total combinations possible. There are 10 balls in total. The possible combinations of selecting 3 balls can be computed using the combination formula:

$$ C(n, r) = \frac{n!}{r!(n - r)!} $$

To find the probability that at least one ball is red, it might be easier to first calculate the probability of selecting no red balls and subtract that from 1.