This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Determine the total number of marbles in the bowl. Number of red marbles = 6 Number of blue marbles = 4 Number of black marbles = 2 Total number of marbles = 6 + 4 + 2 = 12 Step 2: Determine the number of marbles that are not black. Marbles that are not black include red and blue marbles. Number of non-black marbles = Number of red marbles + Number of blue marbles Number of non-black marbles = 6 + 4 = 10 Step 3: Calculate the probability of drawing a marble that is not black. Probability (not black) = Number of non-black marblesTotal number of marbles Probability (not black) = (10)/(12) Simplify the fraction: Probability (not black) = (5)/(6) The probability that a marble drawn at random from the bowl is not black is (5)/(6). 3 done, 2 left today. You're making progress.