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 basket. There are 5 red balls and 2 white balls. Total number of balls = 5 + 2 = 7 balls. Step 2: Calculate the probability of drawing a red ball. The number of red balls is 5. P(Red) = Number of red ballsTotal number of balls = (5)/(7) Step 3: Calculate the probability of drawing a white ball. The number of white balls is 2. P(White) = Number of white ballsTotal number of balls = (2)/(7) Step 4: Calculate the probability of drawing either a white or a red ball. Since drawing a red ball and drawing a white ball are mutually exclusive events (a ball cannot be both red and white), the probability of drawing either is the sum of their individual probabilities. P(White or Red) = P(White) + P(Red) P(White or Red) = (2)/(7) + (5)/(7) = (2+5)/(7) = (7)/(7) = 1 This means it is certain that any ball drawn will be either white or red, as there are no other colors of balls in the basket. The probability that it is either white or red is 1. Last free one today — make it count tomorrow, or type /upgrade for unlimited.