Keiko rolled a number cube 1,000 times and got the following results.

Outcome rolled: 1, 2, 3, 4, 5, 6

Number of Rolls; 176, 178, 166, 156, 156, 168

Fill in the table below. Round your answers to the nearest thousandth.

(a) Assuming that the cube is fair, compute the theoretical probability of rolling a 2 or a 6.

(b) From Keiko's results, compute the experimental probability of rolling a 2 or 6

(c) Assuming that the cube is fair, choose the statement that below is true:

The smaller the number of rolls, the greater the likelihood that the experimental probability will be close to the theoretical probability

The experimental probability will never be very close to the theoretical probability, no matter the number of rolls

The larger the number of rolls, the greater the likelihood that the experimental probability will be close to the theoretical probability