EXPERIMENTAL PROBABILITY

Experimental Probability

Definition Of Experimental Probability

Experimental probability of an event is the ratio of the number of times the event occurs to the total number of trials.

Example of Experimental Probability

Sam rolled a number cube 50 times. A 3 appeared 10 times.
Then the experimental probability of rolling a 3 is 10 out of 50 or 20%

Video Examples: Theoretical Probability versus Experimental Probability

Solved Example on Experimental Probability

Ques: A coin is tossed 60 times. 27 times head appeared. Find the experimental probability of getting heads.

Choices:

A. 1/27
B. 9/20
C. 1/60
D.3/20

Correct Answer: B

Solution:

Step 1: Experimental probability = number of times the event occurs / total number of trials.
Step 2: Number of times heads appeared = 27.
Step 3: Total number of experiments = 60.
Step 4: So, experimental probability of getting a head = 27/60 =9/20 .

Quick Summary

Experimental probability is based on observed outcomes.
It is calculated by dividing the number of successful trials by the total number of trials.
It can be expressed as a fraction, decimal, or percentage.

\[ P(E) = \frac{\text{Number of times event E occurs}}{\text{Total number of trials}} \]

🍎 Teacher Insights

Emphasize the difference between experimental and theoretical probability with real-world examples. Encourage students to conduct their own experiments to collect data and calculate probabilities.

🎓 Prerequisites

Basic arithmetic
Fractions
Ratios
Understanding of events

Check Your Knowledge

Q1: A coin is tossed 60 times. 27 times head appeared. Find the experimental probability of getting heads.

1/27 9/20 1/60 3/20

Q2: A dice is thrown 100 times and '4' appeared 18 times. What is the experimental probability of getting a '4'?

0.18 0.20 0.16 0.22

Frequently Asked Questions

Q: What is the difference between experimental and theoretical probability?
A: Theoretical probability is what we expect to happen, while experimental probability is what actually happens when we conduct trials.

Q: Does experimental probability always equal theoretical probability?
A: No, but as the number of trials increases, experimental probability tends to approach theoretical probability.