Question

determine experimental probability of 1,2,3,4,5,6 by throwing a die 500 times and compare them with their theoretical probabilities. plz anyone tell me how to write solution of this question​

Answer 1

Explanation:

As given in the question,

An experimental probability of 1,2,3,4,5,6 by throwing a die 500 times

So , a die has six sides numbered one through 6.

If it is a fair die the probability of the die landing on any of the six sides is equal. Since total probability of a landing on any side is 1, the probability of landing on a particular side is 1/6.

Answer 2

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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