Say that you put the set of tiles shown below into a bag and conduct a series of trials in which you draw one tile randomly from the bag, record the color, and replace it. The table below shows the number of times in each set of trials that you drew a blue tile. Square tiles: 16 green, 9 grey, 6 pink, 9 blue, 2 yellow, 1 black, 3 purple, 14 red.
Trial
1
2
3
4
5
# of Draws
60
157
49
105
81
# of Blues
13
19
7
10
11

Between the theoretical probability that you will draw a blue tile and the experimental probability that you will draw a blue tile, which is greater, and how much greater is it? Express all probabilities as percentages to two decimal places, and express differences by number of percentage points (for example, 12% is 2 percentage points greater than 10%).
a.
The experimental probability is 6.67 percentage points greater than the theoretical probability.
b.
The experimental probability is 2.00 percentage points greater than the theoretical probability.
c.
The theoretical probability is 1.73 percentage points greater than the experimental probability.
d.
The theoretical probability is 0.77 percentage points greater than the experimental probability.