On the EXPERIMENTAL tab, click Run 1 trial. What is the outcome? The outcome of trail 1 is 6 Click Clear. Then, click Run 10 trials. How many trials were favorable? (Enter the number of favorable trials, not the probability.) There is/are 3 Click Run 10 trials five more times so that there are a total of 60 trials. There is/are 2

To determine the number of favorable trials out of 60 trials, we need to calculate the probability of a favorable trial and then multiply it by the total number of trials to find the expected number of favorable trials. Given: - The outcome of trail 1 is 6. - There are 3 favorable trials out of 10 trials. - There are 2 favorable trials out of 60 trials. Let's calculate the probability of a favorable trial: \[ P(\text{favorable}) = \frac{\text{Number of favorable trials}}{\text{Total number of trials}} \] For 10 trials: \[ P(\text{favorable}) = \frac{3}{10} \] For 60 trials: \[ P(\text{favorable}) = \frac{2}{60} \] Now, we can calculate the expected number of favorable trials out of 60 trials: \[ \text{Expected number of favorable trials} = P(\text{favorable}) \times \text{Total number of trials} \] Let's calculate the expected number of favorable trials out of 60 trials. Calculate the value by following steps: - step0: Calculate: \(\frac{2}{60}\) - step1: Reduce the fraction: \(\frac{1}{30}\) The probability of a favorable trial out of 60 trials is \( \frac{1}{30} \) or approximately 0.0333. Now, we can calculate the expected number of favorable trials out of 60 trials: \[ \text{Expected number of favorable trials} = P(\text{favorable}) \times \text{Total number of trials} \] \[ \text{Expected number of favorable trials} = \frac{1}{30} \times 60 \] \[ \text{Expected number of favorable trials} = 2 \] Therefore, the expected number of favorable trials out of 60 trials is 2.