Question

you have a six-sided die that you roll once. let ri denote the event that the roll is i. let gj denote t he event t hat

Answer 1

The probability of rolling a number at least five on a fair, six-sided die is 1/3 or approximately 0.3333. The experimental probability of rolling such a number will tend to converge to the theoretical probability as the number of rolls increases.

Step-by-step explanation:

Suppose you roll one fair, six-sided die with the numbers {1, 2, 3, 4, 5, 6} on its faces. Let event E = rolling a number that is at least five. There are two outcomes {5, 6}. P(E) = 2. If you were to roll the die only a few times, you would not be able to determine the exact probability of rolling a number at least five. However, as you roll the die more and more times, the experimental probability will tend to converge to the theoretical probability of 2/6, which simplifies to 1/3 or approximately 0.3333.