Question

Galina spins a spinner with three equally sized colored sections: red, green, and purple. She also rolls a number cube. Which event below has the highest likelihood of occurring? (1 point)
• The spinner lands on red, and the number cube lands on an even number.
• The spinner lands on red, and the number cube lands on 6.
• The spinner lands on either green or red, and the number cube lands on 6.
• The spinner lands on either purple or red, and the number cube lands on 3.

Answer 1

To determine which event has the highest likelihood of occurring, we need to calculate the probability of each event.

1. **The spinner lands on red, and the number cube lands on an even number.**
- Probability the spinner lands on red = 1/3
- Probability the number cube lands on an even number (2, 4, or 6) = 3/6 = 1/2
- Combined probability = (1/3) * (1/2) = 1/6

2. **The spinner lands on red, and the number cube lands on 6.**
- Probability the spinner lands on red = 1/3
- Probability the number cube lands on 6 = 1/6
- Combined probability = (1/3) * (1/6) = 1/18

3. **The spinner lands on either green or red, and the number cube lands on 6.**
- Probability the spinner lands on either green or red = 2/3
- Probability the number cube lands on 6 = 1/6
- Combined probability = (2/3) * (1/6) = 2/18 = 1/9

4. **The spinner lands on either purple or red, and the number cube lands on 3.**
- Probability the spinner lands on either purple or red = 2/3
- Probability the number cube lands on 3 = 1/6
- Combined probability = (2/3) * (1/6) = 2/18 = 1/9

Now, let's summarize the probabilities:
- Event 1: Probability = 1/6
- Event 2: Probability = 1/18
- Event 3: Probability = 1/9
- Event 4: Probability = 1/9

The event with the highest probability is **the spinner lands on red, and the number cube lands on an even number (1/6)**.

Therefore, **the answer is the first event**.