Sissy's class used a number cube that has sides labeled one through six. The students rolled the number cube 500 times and recorded the result for each roll which is the best prediction of the number times the number cube landed on a side numbered greater than 4?
To predict the number of times the number cube landed on a side numbered greater than 4, we need to find the probability of rolling a number greater than 4 and multiply it by the total number of rolls.
The probability of rolling a number greater than 4 is 2/6 or 1/3 (since there are 2 sides out of 6 that are greater than 4).
So, the prediction can be calculated as:
Prediction = Probability of rolling a number greater than 4 x Total number of rolls
Prediction = (1/3) x 500 = 166.67
Rounded to the nearest whole number, the best prediction is that the number cube landed on a side numbered greater than 4 about 167 times out of 500.
you roll a number cube numbered one to six 12 times. P(5) = 2/3. what type of probability is illustrated and why?
The given probability P(5) = 2/3 is an example of experimental probability.
Experimental probability is obtained by conducting an experiment (in this case, rolling the number cube 12 times) and calculating the ratio of the number of times an event occurred (rolling a 5) to the total number of trials.
Since the given probability is based on the results of a specific experiment rather than theoretical or hypothetical probabilities, it is an example of experimental probability.
To find the best prediction of the number of times the number cube landed on a side numbered greater than 4, you need to analyze the data from the 500 rolls. Here's how you can do it:
1. First, go through each recorded roll and count how many times the number cube landed on a side numbered greater than 4 (5 or 6).
2. Keep a tally of the number of times it landed on each number greater than 4.
3. After going through all 500 rolls, calculate the total number of times the number cube landed on a side numbered greater than 4 by adding up the tallies for each number.
4. Once you have the total count, divide it by the total number of rolls (500) to find the average.
The best prediction of the number of times the number cube landed on a side numbered greater than 4 would be the average calculated in step 4. This average represents the expected value based on the data collected from the 500 rolls.