Final answer:
The probability of Lucy landing on a specific number with a six-numbered spinner is 1 out of 6, calculated by dividing the one favorable outcome by the total six possible outcomes.
Step-by-step explanation:
When Lucy plays a game with a spinner numbered 1 through 6 and spins it once, the probability of getting any specific number, like a 3 or a 4, is the same for each number. Since there are six possible outcomes and each is equally likely, the probability of landing on any one number is 1 out of 6. This can be calculated using the formula for probability, which is the number of favorable outcomes divided by the total number of possible outcomes. In this case, there is one favorable outcome (the specific number) and six possible outcomes (the numbers 1 through 6 on the spinner).
The number of outcomes is straightforward because a six-sided die or a spinner with six numbers both have the same number of possible results. So, for any specific number, the probability is calculated as:
- Identify the number of favorable outcomes for the event (in this case, 1 since Lucy is looking for a specific number).
- Identify the total number of possible outcomes (which is 6 for a six-sided spinner or die).
- Divide the number of favorable outcomes by the total number of possible outcomes: P(E) = 1/6.