How to Solve Theoretical Probability?

How to find theoretical probability?

Step 1: Identify the number of favorable outcomes. Since there are \(20\) lottery tickets, \(20\) will be the desired number of results.

Step 2: Determine the total possible outcomes. Since a total of \(600\) tickets were sold in this way, \(600\) will be the total number of possible results.

Step 3: Divide the value from step \(1\) by step \(2\) to calculate the theoretical probability. Therefore, \(\frac{20}{600}=0.03\). This indicates that the probability of a person winning a lottery prize is \(0.03\).

Theoretical Probability – Example 1:

Find the probability of getting \(2\) on a fair die.

Solution:

The possible outcomes of rolling a die are \(1, 2, 3, 4, 5, 6\), so the total number of outcomes \(=6\). As we want to calculate the probability of getting only \(2\), therefore, the number of desired outcomes \(= 1\).

\(p\left(2\right)=\frac{1}{6}=0.16\)