The odds of rolling a five on a standard six-sided die can be calculated by considering that there is one favorable outcome (rolling a five) out of six possible outcomes (the numbers 1 through 6).
The odds in favor of an event are calculated as the ratio of the number of favorable outcomes to the number of unfavorable outcomes. In this case:
- Favorable outcomes: 1 (rolling a five)
- Unfavorable outcomes: 5 (rolling a one, two, three, four, or six)
Therefore, the odds of rolling a five can be expressed as:
1 (favorable outcomes) : 5 (unfavorable outcomes) = 1:5
So, the correct answer is D. 1:5.
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