Final answer:
The probability of obtaining 1 consecutive ones on a 3-sided dice is approximately 0.07407.
Step-by-step explanation:
The theoretical probability of obtaining 1 consecutive ones on a 3-sided dice can be calculated using the formula:
P(consecutive ones) = P(one) x P(one) x P(not one)
Since the dice has 3 sides, the probability of rolling a one is 1/3, and the probability of not rolling a one is 2/3.
Therefore, the probability of obtaining 1 consecutive ones is:
P(consecutive ones) = 1/3 x 1/3 x 2/3 = 2/27 ≈ 0.07407