Q1. What is the probability of getting a head on a coin toss?
✔ One favorable outcome out of two total possible outcomes gives one half.
Q2. What is n(S) for a standard six-sided die?
✔ A standard six-sided die has exactly six faces numbered one to six.
Q3. What is the valid range for probability values?
✔ Probability values must always lie between zero and one inclusive.
Show transcript
[Slide 1] What is Probability?
Probability measures how likely an event is to occur. It ranges from impossible at zero to certain at one. We use theory to predict outcomes before experiments.
[Slide 2] The Formula
The formula divides favorable outcomes by total possible outcomes. Ensure all outcomes are equally likely for this to work. This gives the theoretical probability value.
[Slide 3] Example Setup
Let us roll a fair six-sided die once. The sample space contains numbers one through six. We need to find the probability of an even number.
[Slide 4] Example Calculation
There are three even numbers in our set of six. So we divide three by six to get one half. This is our theoretical probability result.
[Slide 5] Common Mistake
Students often miscount the total possible outcomes in the denominator. Remember probability never exceeds one or drops below zero. Always check your sample space first.
[Slide 6] Quick Recap
Remember probability is the ratio of favorable to total outcomes. It always stays between zero and one inclusive. Keep practicing with simple examples like coins.