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Bronwyn used the spinner pictured below and recorded his results. He spun it 10 times and tallied up how many times he landed on each letter. C - 2 times L - 3 times E - 1 time A - 2 times N - 2 times His experimental probability of landing on the letter L is 3/10 . Part 1: What is the theoretical probability of landing on the letter L if the spinner is spun 10 times? (2 points) Responses 3/10 3 tenths 1/10 1 tenth 2/10 2 tenths 5/10 5 tenths Question 2 Part 2: How do Bronwyn's experimental and theoretical probabilities compare? Fill in the blank with the correct choice to complete the sentence. (2 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. Bronwyn's experimental probability of spinning the letter L Response area the theoretical probability of spinning the letter L. responses greater then or less then

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Part 1: Theoretical Probability

To determine the theoretical probability of landing on the letter L, we need to know how many total equal sections there are on the spinner and how many of those sections represent the letter L.

Assuming the spinner has equal sections for each letter and there are 5 letters (C, L, E, A, N), the probability of landing on L theoretically can be calculated as follows:

\[ \text{Theoretical Probability} = \frac{\text{Number of sections with L}}{\text{Total number of sections}} \]

Since L is one of the five letters:

\[ \text{Theoretical Probability of L} = \frac{1}{5} = \frac{2}{10} = 0.2 \]

So the theoretical probability of landing on the letter L if the spinner is spun 10 times is:

  • Response: 2/10 (2 tenths)

Part 2: Comparison of Experimental and Theoretical Probabilities

Bronwyn's experimental probability of landing on L is 3/10, while the theoretical probability we just calculated is 2/10.

To fill in the blank:

Bronwyn's experimental probability of spinning the letter L is greater than the theoretical probability of spinning the letter L.

  • Responses: greater than