+101 1. DIE ROLL A math class decided to test whether a die is fair, that is, whether the experimental probability equals the theoretical probability. The results for 100 rolls are shown below:
# on a die Number of rolls
1 6 times
2 15 times
3 4 times
4 13 times
5 15 times
6 47 times
a. What is the theoretical probability of rolling a 6?
b. What is the experimental probability of rolling a 6?
c. Is the die fair? Explain your reasoning
+130081
a) Theoretical probability = (1/6)100 = about 16 2/3 % = about 16 times in 100
b) Experimental probability = 47/100 = 47%
c) The die does not appear to be "fair"......we would expect a "6" to occur far less frequently in 100 rolls....however.....although we should expect that each number would appear about 16 times in 100 rolls, this, in fact, will probably not happen.....
