Question 1: Part 1
To find the theoretical probability of landing on the letter L with the spinner, we first need to consider how many equal sections are on the spinner and how many of those sections correspond to the letter L. Since the results provided do not specify how many sections are on the spinner, we cannot derive the theoretical probability without that information. However, we can assume that if all sections are equal and let’s say there are 5 distinct letters (C, L, E, A, N) on the spinner, then each letter would have a theoretical probability calculated as follows:
To find the theoretical probability for letter L (assuming equal chances for each letter):
- Total sections = 5 (C, L, E, A, N)
- L appears once.
The theoretical probability (P) of landing on L would be:
\[
P(L) = \frac{\text{Number of L sections}}{\text{Total sections}} = \frac{1}{5}
\]
Now, rewriting that in decimal form gives:
- \( \frac{1}{5} = 0.2 \) or 2 tenths.
So, if we follow the options given, the answer is: 2 tenths.
Question 2: Part 2
Bronwyn's experimental probability of landing on L is 3 out of 10 (or \( \frac{3}{10} \)). The theoretical probability, as computed, is \( \frac{2}{10} \) (or 2 tenths).
To compare the experimental and theoretical probabilities, we can summarize:
- Experimental probability (3 tenths) > Theoretical probability (2 tenths).
Thus, the completed sentence would be:
Bronwyn's experimental probability of spinning the letter L is greater than the theoretical probability of spinning the letter L.