Question

Assuming that their dice are both fair. Find the theoretical probability of rolling each value. Write your answers as percentages, correct to two decimal places. a) p(1) = 16.67% b) p(2) = 16.67% c) p(3) = 16.67% d) p(4) = 16.67%

Answer 1

The theoretical probability of rolling any one number on a six-sided die is 16.67%. This is calculated by dividing the number of ways the event can happen (1) by the total number of possible outcomes (6) and multiplying by 100 to get a percentage.

Step-by-step explanation:

The subject of this question is Probability, more specifically, the theoretical probability of rolling a dice. A die, which is a cube, has 6 faces, each represented by a number from 1 to 6. When you roll a fair six-sided die, the probability of rolling each number is the same. This means that the likelihood of rolling a 1, 2, 3, 4, 5 or 6 is equally likely in any individual roll of the die.

To calculate the theoretical probability, we divide the number of ways the event you are looking for can happen by the total number of events. In this case, there is 1 way to roll each number (for example, only one side of the die has a 4 on it), and there are 6 possible outcomes (the 6 faces of the die), so the probability is calculated as 1 ÷ 6 ≈ 0.1667. To write this as a percentage, we multiply by 100 to get 16.67%.

So, your calculated probabilities are correct: the theoretical probability of rolling a 1, 2, 3, 4, 5 or 6 on a fair six-sided dice is 16.67% for each.

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