Number Rolled Frequency

1 4
2 7
3 11
4 10
5 9
6 9

Based on the experimental probabilities shown in the table, how many times would you expect to roll a 4 if you rolled 200 times? Explain or show how you figured it out!

1 answer

To find the expected frequency of rolling a 4 if you rolled 200 times, you would need to calculate the probability of rolling a 4 and then multiply it by 200.

First, let's calculate the total number of rolls:
4 (frequency of rolling a 1) + 7 (frequency of rolling a 2) + 11 (frequency of rolling a 3) + 10 (frequency of rolling a 4) + 9 (frequency of rolling a 5) + 9 (frequency of rolling a 6) = 50 rolls

Next, calculate the probability of rolling a 4:
frequency of rolling a 4 / total number of rolls = 10 / 50 = 0.2

Now, multiply the probability of rolling a 4 by 200:
0.2 * 200 = 40

Therefore, you would expect to roll a 4 approximately 40 times if you rolled 200 times based on the given experimental probabilities.