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
When a fair die is thrown once, the possible outcomes are the numbers 1, 2, 3, 4, 5, and 6. Step 1: Determine the total number of possible outcomes. The total number of outcomes when throwing a single die is 6. Step 2: Determine the number of favorable outcomes. We are looking for numbers divisible by 3. From the possible outcomes \1, 2, 3, 4, 5, 6\, the numbers divisible by 3 are 3 and 6. So, there are 2 favorable outcomes. Step 3: Calculate the probability. The probability of an event is given by the formula: P(event) = Number of favorable outcomesTotal number of possible outcomes P(number divisible by 3) = (2)/(6) P(number divisible by 3) = (1)/(3) The probability of getting a number divisible by 3 is: (1)/(3) 3 done, 2 left today. You're making progress.