Answer:
Part (a) = 0.5, Part (b) = 0.6, Part (c) = less than
Step-by-step explanation:
Step 1: Determine the theoretical probability
The theoretical probability is found by taking the amount of times our wanted solution is in the options out of the total options. In this case, we have a spinner with labels of 1-8 so the odd numbers would be {1, 3, 5, 7}. The total possibilities is 8 so that means we do 4/8. This gives us 0.5 or 50% probability.
Step 2: Determine the experimental probability
The theoretical probability is found by taking the amount of times we get our wanted solution out of the total times we spun. In this case, we spun 10 times and we got the following odd numbers, {1, 7, 5, 3, 1, 5}. So we take the number of times that we got an odd number and divide it by the total times we spun. So we do 6/10 which gives us 0.6 or 60% probability.
Step 3: Determine which is greater
Therefore, the theoretical probability (0.5) of spinning an odd number is less than the experimental probability (0.6) of spinning an odd number.
Answer: Part (a) = 0.5, Part (b) = 0.6, Part (c) = less than