Find the odds in favor of the indicated event.Rolling an odd number with a fair die.Group of answer choices
Question
Find the odds in favor of the indicated event.
Rolling an odd number with a fair die.
Group of answer choices
Solution
When you roll a fair six-sided die, there are six possible outcomes: 1, 2, 3, 4, 5, and 6.
The event of rolling an odd number includes three outcomes: 1, 3, and 5.
So, the probability of rolling an odd number is the number of favorable outcomes divided by the total number of outcomes, which is 3/6 or 1/2.
Odds in favor of an event are defined as the ratio of the number of favorable outcomes to the number of unfavorable outcomes.
In this case, the number of unfavorable outcomes is also 3 (the even numbers 2, 4, and 6).
So, the odds in favor of rolling an odd number with a fair die are 3 to 3, or 1 to 1.
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