## Theoretical Probability

### Theoretical probability refers to the likelihood of an event occurring based on the assumption of an ideal or perfect situation

Theoretical probability refers to the likelihood of an event occurring based on the assumption of an ideal or perfect situation. It is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

To understand theoretical probability better, let’s consider an example. Imagine you have a regular six-sided die and you want to find the probability of rolling a 2.

Step 1: Determine the number of favorable outcomes. In this case, there is only one favorable outcome, which is rolling a 2.

Step 2: Determine the total number of possible outcomes. Since the die has six sides, the total number of possible outcomes is six.

Step 3: Divide the number of favorable outcomes by the total number of possible outcomes. In this case, 1 divided by 6 equals 1/6.

Therefore, the theoretical probability of rolling a 2 on a regular six-sided die is 1/6.

Theoretical probability can be applied to various situations, including flipping a coin, drawing cards from a deck, or even conducting experiments in science. It provides a mathematical prediction of the likelihood of an event occurring under perfect conditions.

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