Number Rolled
Frequency
1
7
2
9
3
11
4
6
5
9
6
8
Based on the experimental probability, predict the number of times that you will roll a 5 if you roll the number cube 300 times.
A. 15
B. 27
C. 48
D. 54.
B. 27
To predict the number of times you will roll a 5 if you roll the number cube 300 times, we can calculate the experimental probability of rolling a 5 and then multiply it by 300.
To calculate the experimental probability, divide the frequency of rolling a 5 (which is 9 in this case) by the total number of rolls (which is the sum of all the frequencies, which is 7+9+11+6+9+8 = 50).
Experimental Probability of rolling a 5 = 9 / 50 = 0.18
Now, multiply this experimental probability by 300:
Predicted number of times to roll a 5 = Experimental Probability of rolling a 5 * Total number of rolls
Predicted number of times to roll a 5 = 0.18 * 300 = 54
Therefore, the predicted number of times you will roll a 5 if you roll the number cube 300 times is 54.
The answer is D. 54.