Question

Lawrence decided to test the balance of his favorite six-sided die. To do so, over the course of a month, he wrote down the total number of rolls he made with it at his weekly gaming night, and how many of those rolls showed a result of six. His data may be seen in the table below.

Week
1
2
3
4
Rolls Made
39
21
55
41
Results of Six
5
3
11
11

Find the experimental probability of Lawrence’s favorite die rolling a six, expressed as a percentage to two decimal places.
a.
16.67%
b.
18.49%
c.
19.23%
d.
26.83%

Answer 1

Total rolls = 39+21+55+41 = 156.
Total sixes = 5+3+11+11 = 30.
Probability = 30/156 = 5/26 ≈ 0.1923077 = 19.23%.

Answer: c. 19.23%