Let's break down the probabilities of each event step by step:
-
Spinner lands on red, and the number cube lands on an even number:
- Probability of spinner landing on red = 1/3
- Even numbers on a number cube (2, 4, 6) = 3 options out of 6.
- Probability of number cube landing on an even number = 3/6 = 1/2
- Combined probability = (1/3) * (1/2) = 1/6
-
Spinner lands on red, and the number cube lands on 6:
- Probability of spinner landing on red = 1/3
- Probability of number cube landing on 6 = 1/6
- Combined probability = (1/3) * (1/6) = 1/18
-
Spinner lands on either purple or red, and the number cube lands on 3:
- Probability of spinner landing on purple or red = 2/3 (because there are 2 out of 3 sections)
- Probability of number cube landing on 3 = 1/6
- Combined probability = (2/3) * (1/6) = 2/18 = 1/9
-
Spinner lands on either green or red, and the number cube lands on 6:
- Probability of spinner landing on green or red = 2/3
- Probability of number cube landing on 6 = 1/6
- Combined probability = (2/3) * (1/6) = 2/18 = 1/9
Comparing the probabilities:
- Event 1: 1/6
- Event 2: 1/18
- Event 3: 1/9
- Event 4: 1/9
The event with the highest likelihood of occurring is "The spinner lands on red, and the number cube lands on an even number," with a probability of 1/6.