SOLUTION: 3 balls were chosen from a bag containing 5 red, 3 green, and 4 blue balls. What is the probability that at-least one ball is red?

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Question 955509: 3 balls were chosen from a bag containing 5 red, 3 green, and 4 blue balls. What is the probability that at-least one ball is red?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let's find the probability that no balls are red.
Then the complement will have at least one red ball.
P%28NR1%29=7%2F12
P%28NR2%29=6%2F12
P%28NR3%29=5%2F12
So then,
P%28NR%29=%287%2F12%29%286%2F12%29%285%2F12%29
P%28NR%29=35%2F288
So then,
P=1-P%28NR%29
P=288%2F288-35%2F288
P=253%2F288