To determine the experimental probability of 1,2,3,4,5or6 by throwing a die by 500 time and compared them with their theoretical probability
Answers
Answer:
6*500=3000
Step-by-step explanation:
1/3000
2/3000
3/3000=1000
4/3000
5/3000
6/3000=2000
Given :
- Throwing a die 500 times
To Find :
- Experimental probabilities
- Compare with Theoretical probabilities
Solution:
- Probability of an event = n(E)/n(S)
- n(E) = number of possible outcome of event
- n(S) = number of possible sample space outcome
- Step 1 : Take a Dice
- Step 2 : Throw Dice
- Step 3 : Note the Result
- Step 4 : Repeat this procedure 499 times more
- Step 5 : Compile all the result
- Step 6 : Note Down all the frequency
Here are the Result of Experiments:
( Note : Result will/may vary in every new experiment)
Dice Number Frequency
1 67
2 95
3 97
4 83
5 81
6 77
Total 500
Theoretical Probability of dice for each number is 1/6 ≈ 0.1667
Experimental Probability
1 67/500 = 0.134
2 95/500 = 0.19
3 97/500 = 0.194
4 83/500 = 0.166
5 81/500 = 0.162
6 77/500 = 0.154
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