Question

(2 points)


Using the image above, what is the theoretical probability of picking a yellow counter in simplest form?

Joan picks a random counter out of the bag 10 times, and she got a yellow counter 7 times. What is the experimental probability of picking a yellow?

Answer 1

To provide you with accurate calculations for the theoretical probability and experimental probability of picking a yellow counter, I need the information regarding the total number of counters and the number of yellow counters from the image you mentioned. However, since I cannot see the image, let me explain how you can compute both probabilities with a generic example.

1. **Theoretical Probability**:
The theoretical probability can be calculated using the formula:
\[
\text{Theoretical Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}
\]
If, for example, there are 4 yellow counters out of a total of 20 counters in the bag, the theoretical probability of picking a yellow counter would be:
\[
\text{Theoretical Probability} = \frac{4}{20} = \frac{1}{5}
\]

2. **Experimental Probability**:
The experimental probability is calculated using the formula:
\[
\text{Experimental Probability} = \frac{\text{Number of times the event occurs}}{\text{Total number of trials}}
\]
In this case, if Joan picked a yellow counter 7 times out of 10 trials, the experimental probability would be:
\[
\text{Experimental Probability} = \frac{7}{10}
\]

Please provide the actual numbers from the image or fill in the values based on your situation, and you can easily find both probabilities.