A container holds 3 blue, 4 red, 6 green, and 2 yellow marbles. If you randomly select four marbles, what is the probability that no blue marble is chosen?

Explanation

There are a total of 15 marbles: 3 blue and 12 non-blue (4 red + 6 green + 2 yellow). The probability that none of the four selected marbles are blue is the number of ways to choose 4 marbles from the 12 non-blue ones divided by the total ways to choose 4 marbles from all 15. This is calculated as C(12,4) / C(15,4) = (12*11*10*9)/(15*14*13*12) = 33/91.