Rationale
The probability of getting an odd number when rolling a die is 50%.
A standard six-sided die has three odd numbers: 1, 3, and 5. Since there are a total of six possible outcomes when rolling the die, the probability of rolling an odd number is the ratio of favorable outcomes to total outcomes, which is 3 out of 6, or 50%.
A) 50%
This choice accurately represents the probability of obtaining an odd number. With three odd numbers (1, 3, 5) out of six possible outcomes (1, 2, 3, 4, 5, 6), the calculation yields \( \frac{3}{6} = 0.5 \), which is equivalent to 50%.
B) 75%
This option mistakenly suggests that there are four favorable outcomes for rolling an odd number, which is incorrect. In reality, there are only three odd numbers on a die. The probability of rolling an odd number cannot exceed 50% in this case, making 75% an inaccurate value.
C) 16.70%
This percentage does not represent any correct probability related to rolling an odd number. It might stem from a misunderstanding of the total outcomes or the calculation method. The accurate probability calculated from the actual outcomes is significantly higher than 16.70%.
D) 33%
This option implies there are two favorable outcomes for odd rolls, suggesting a misunderstanding of die outcomes. Since three odd numbers exist, the probability calculated should reflect this count, making 33% an incorrect estimation.
Conclusion
The calculation of probability when rolling a die clearly shows that with three odd numbers among six total outcomes, the probability of rolling an odd number is 50%. All other options presented either misinterpret the count of favorable outcomes or incorrectly calculate the probability, leading to erroneous conclusions regarding the likelihood of obtaining an odd number.
