📘 Quiz

Solution: Step 1: Calculate the total number of marbles in the box. Total = 4(blue) + 6(black) + 2(white) = 12 marbles. Step 2: Determine the total number of ways to draw 3 marbles out of 12. This is given by 12C3 = 12! / (3! * (12-3)!) = 220. Step 3: Calculate the number of ways to draw 3 black marbles out of 6. This is given by 6C3 = 6! / (3! * (6-3)!) = 20. Step 4: Use the probability formula = (Number of favorable outcomes) / (Total number of outcomes) = 20 / 220. Step 5: Simplify the fraction to obtain the probability. 20 / 220 = 1 / 11 = 2 / 22 ≈ 0.0909, but in fraction form related to given options, it matches with 2/11.