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) Responses The spinner lands on red, and the number cube lands on 6. The spinner lands on red, and the number cube lands on 6. The spinner lands on either purple or red, and the number cube lands on 3. The spinner lands on either purple or red, and the number cube lands on 3. 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 an even number. The spinner lands on either green or red, and the number cube lands on 6.

Answer 1

To determine which event has the highest likelihood of occurring, let's analyze the probabilities of each event.

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

2. **The spinner lands on either purple or red, and the number cube lands on 3.**
- Probability of purple or red = 2/3 (since there are 2 favorable outcomes out of 3 possible ones)
- Probability of rolling a 3 = 1/6
- Combined probability = (2/3) * (1/6) = 2/18 = 1/9

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

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

Now, let's compare the probabilities from each of these events:

- Event 1: 1/18
- Event 2: 1/9
- Event 3: 1/6
- Event 4: 1/9

The event with the highest probability is **Event 3: The spinner lands on red, and the number cube lands on an even number, which has a probability of 1/6.**