The state lottery board is examining the machine that randomly
picks the lottery numbers. On each trial, the machine outputs a
ball with one of the digits 0 through 9 on it.
(The ball is then replaced in the machine.) The lottery board
tested the machine for 100 trials and got the following
results.
Outcome
0
1
2
3
4
5
6
7
8
9
Number of Trials
7
13
13
11
10
5
7
9
13
12
Fill in the table below. Round your answers to the nearest
thousandths.
(a)
From these results, compute
the experimental probability of getting a
0
.
(b)
Assuming that the machine is
fair, compute the theoretical probability of getting
a
0
.
(c)
Assuming that the machine is
fair, choose the statement below that is true:
As the number of trials increases, we expect the experimental and
theoretical probabilities to
become closer, though they might not be equal.
As the number of trials increases, we expect the experimental and
theoretical probabilities to
become farther apart.
The experimental and theoretical probabilities must always be
equal.