Answer:
the probability of rolling a standard die once and getting an even number or a multiple of 3 is approximately 0.8333 or 83.33%.
Explanation:
To calculate the probability of getting an even number or a multiple of 3 on a standard six-sided die, we first need to determine the favorable outcomes and the total possible outcomes.
1. **Favorable Outcomes:**
- Even numbers on a die: 2, 4, 6 (3 outcomes)
- Multiples of 3 on a die: 3, 6 (2 outcomes)
- The number 6 is counted in both categories (even number and multiple of 3), so we only count it once to avoid duplication.
Total favorable outcomes = 3 (even numbers) + 1 (additional 6) + 1 (multiple of 3) = 5
2. **Total Possible Outcomes:**
- A standard die has 6 faces, numbered 1 through 6.
Total possible outcomes = 6
3. **Probability:**
- Probability = (Number of favorable outcomes) / (Total possible outcomes)
- Probability = 5 / 6 ≈ 0.8333