Calculating the chance of something happening in an easy experiment is simple. Just follow these steps:
Identify the Sample Space: The sample space is all the possible outcomes. For example, if you roll a die, the outcomes are [ S = {1, 2, 3, 4, 5, 6} ]
Count the Favorable Outcomes: Next, figure out how many of those outcomes fit your event. If you want to know the chance of rolling an even number, the good outcomes are [ {2, 4, 6} ] So, there are 3 good outcomes.
Use the Probability Formula: Probability (P) of an event is found with this formula: [ P(A) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} ]
In our example, the chance of rolling an even number is: [ P(\text{even number}) = \frac{3}{6} = \frac{1}{2} ]
So, the chance of rolling an even number is 0.5, which is the same as 50%.
Calculating the chance of something happening in an easy experiment is simple. Just follow these steps:
Identify the Sample Space: The sample space is all the possible outcomes. For example, if you roll a die, the outcomes are [ S = {1, 2, 3, 4, 5, 6} ]
Count the Favorable Outcomes: Next, figure out how many of those outcomes fit your event. If you want to know the chance of rolling an even number, the good outcomes are [ {2, 4, 6} ] So, there are 3 good outcomes.
Use the Probability Formula: Probability (P) of an event is found with this formula: [ P(A) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} ]
In our example, the chance of rolling an even number is: [ P(\text{even number}) = \frac{3}{6} = \frac{1}{2} ]
So, the chance of rolling an even number is 0.5, which is the same as 50%.