The data below shows the results that Clover got when they rolled 2 dice and recorded their total value, by add the two dice together. What is the experimental probability or rolling a five? Answer in fraction form.
Value=2,3,4,5,6,7,8,9,10,11,12
Frequency= 4,9,13,18,26,37,28,17,12,11,5
To find the experimental probability of rolling a five, we need to look at the frequency of rolling a five and divide it by the total number of rolls:
Experimental probability of rolling a five = frequency of rolling a five / total number of rolls
From the table, we see that the frequency of rolling a five is 26. The total number of rolls is:
4 + 9 + 13 + 18 + 26 + 37 + 28 + 17 + 12 + 11 + 5 = 180
So the experimental probability of rolling a five is:
26 / 180 = 13 / 90
Therefore, the answer is 13/90.
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To find the experimental probability of rolling a five, we need to determine the number of times rolling a five occurred and divide it by the total number of rolls.
Looking at the data, we see that the value of 5 occurred 18 times. In order to calculate the experimental probability, we divide this frequency by the total number of rolls:
Experimental Probability of Rolling a Five = Frequency of 5 / Total Frequency
The total frequency can be obtained by summing up the frequency values: 4 + 9 + 13 + 18 + 26 + 37 + 28 + 17 + 12 + 11 + 5 = 180
So, the experimental probability of rolling a five is:
18 / 180
Simplifying the fraction, we have:
1 / 10
Therefore, the experimental probability of rolling a five is 1/10.