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)

Question

• 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.