Final answer:
The favorable outcomes of choosing an odd number between 1 and 9 are the numbers 1, 3, 5, 7, and 9, which totals five favorable outcomes when selecting an odd number from this range.
Step-by-step explanation:
The question asks about the favorable outcomes of choosing an odd number between 1 and 9. In terms of probability, an outcome is considered favorable if it is the result we are hoping for when we perform an experiment, which in this case, is selecting an odd number. Considering the numbers 1 through 9, the odd numbers are 1, 3, 5, 7, and 9. Therefore, there are five favorable outcomes when choosing an odd number in this range.
Let's explore an example with a six-sided die. Suppose you roll one fair, six-sided die with the numbers {1, 2, 3, 4, 5, 6} on its faces. If event E is rolling a number that is at least five, then the favorable outcomes for event E are {5, 6}, making P(E) = 2 out of 6 possible outcomes. Similarly, when choosing an odd number between 1 and 9, we count the number of odd numbers as our favorable outcomes.