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 balls in the box. Number of red balls = 6 Number of white balls = 4 Number of blue balls = 5 Total number of balls = 6 + 4 + 5 = 15 Step 2: Calculate the probability of getting a red ball. P(Red) = Number of red ballsTotal number of balls P(Red) = (6)/(15) P(Red) = (2)/(5) a) The probability of getting a red ball is (2)/(5). Step 3: Calculate the probability of getting a blue ball. P(Blue) = Number of blue ballsTotal number of balls P(Blue) = (5)/(15) P(Blue) = (1)/(3) b) The probability of getting a blue ball is (1)/(3). Step 4: Calculate the probability of getting a white ball. P(White) = Number of white ballsTotal number of balls P(White) = (4)/(15) c) The probability of getting a white ball is (4)/(15). Step 5: Calculate the probability of not getting a white ball. The probability of not getting a white ball is 1 minus the probability of getting a white ball. P(Not White) = 1 - P(White) P(Not White) = 1 - (4)/(15) P(Not White) = (15)/(15) - (4)/(15) P(Not White) = (11)/(15) Alternatively, the number of non-white balls is 6 (red) + 5 (blue) = 11. P(Not White) = (11)/(15) d) The probability of not getting a white ball is (11)/(15). Last free one today — make it count tomorrow, or type /upgrade for unlimited.