Experimental probability is defined as the probability of an event when ratio of occurrence of events and total number of trials is taken.
Example 1:
If a coin is tossed 10 times, head appears 3 times. Find experimental probability of getting a head.
Solution:
Experimental probability of getting a head = $\frac{3}{10}$.
Example 2:
If a dice is rolled 500 times and a 3 comes 313 times. What will be the experimental probability of 3 showing up in the dice?
Solution:
The total number of trials = 500.
Number of occurrences of where 3 will come = 313
Experimental probability of getting a 3 = $\frac{313}{500}$.
Word Problems
Problem 1:
If a dice is thrown five times out of which thrice it gives a 4, then what will be the experimental probability of getting a four with a dice? Compare it with theoretical probability.
Solution:
Theoretical probability = $\frac{1}{6}$
Experimental probability = $\frac{4}{6}$ = $\frac{2}{3}$
The experimental probability gives the ratio of actual occurrence of events to number of possible events whereas theoretical probability gives the
expected probability of events.Problem 2:
The given table gives the outcome when a coin is tossed 5 times. Find the experimental probability of getting a head.

Trial1

Trial2

Trial3

Trial4

Trial5 
Outcome 
H 
T 
T 
H 
T

Solution:
Number of occurrence giving a tail = 3
Total number of trials = 5
Experimental probability = $\frac{3}{5}$Problem 3:
Annie has given GATE exam thrice and has not qualified even once. Find the theoretical and experimental probability of her qualifying the exam next time.
Solution:
Theoretical probability = $\frac{1}{2}$
Number of trials = 3
Number of trials giving qualified result = 0
Experimental probability = $\frac{0}{3}$ = $0$Problem 4:
A coin is tossed 1000 times and head comes for 667 times. Find the experimental probability of getting a head.
Solution:
Number of trials = 1000
Trials giving head as outcome = 667
Experimental probability = $\frac{667}{1000}$Problem 5:
A coin is tossed and a dice is rolled simultaneously for 6 times. The outcomes are given in the table below.

Trail1 
Trial2

Trial3

Trial4

Trial5

Trial6

Coin

H 
H 
T

T 
H 
T 
Dice 
2 
5 
2 
1 
5 
6 
Find the experimental probability of getting a head and a five together.
Solution:
Number of trials = 6
Number of trials getting a head and a five = 2
Experimental probability = $\frac{2}{6}$ = $\frac{1}{3}$