Question

Compute the probability of the next roll being a 6 based on experimental results.

a) 1/6
b) 1/5
c) 1/4
d) 1/3

Answer 1

The probability of rolling a 6 with a fair six-sided die is 1/6, which is an independent event from previous rolls.

Step-by-step explanation:

The probability of the next roll being a 6 does not depend on previous rolls if the die is fair. Each roll of a die is an independent event, meaning that past outcomes do not influence future ones

Probability = Number of favorable outcomes / Total number of outcomes

Given that a six-sided die has six equally likely outcomes, the probability of rolling a 6 on any given roll is 1/6. Therefore, the theoretical probability of rolling a 6 is always 1/6, answer choice (a).