Question

select spin to start the spinner. perform an experiment with 50 trials. what is the experimental probability of the spinner landing on red? the table shows results: result (red, green, blue, purple, orange, total) with frequency (6, 16, 8, 13, 8, 51). a spinner image with colors red, green, blue, purple, orange is also present.

Explanation:

To determine the experimental probability of the spinner landing on red, we follow these steps:

Step 1: Identify the frequency of red and total trials

From the table, the frequency of red (number of times red occurred) is \( 6 \), and the total number of trials (total frequency) is \( 51 \).

Step 2: Calculate the experimental probability

The formula for experimental probability is:

$$ \text{Experimental Probability} = \frac{\text{Frequency of the event}}{\text{Total number of trials}} $$

Substituting the values for red:

$$ \text{Probability (red)} = \frac{6}{51} $$

Step 3: Simplify the fraction (optional)

We can simplify \( \frac{6}{51} \) by dividing both the numerator and denominator by their greatest common divisor, which is \( 3 \):

$$ \frac{6 \div 3}{51 \div 3} = \frac{2}{17} $$

Answer:

\( \frac{2}{17} \) (or approximately \( 0.1176 \) if a decimal is preferred)