five fair dice were tossed, and the sum of the resulting tosses was recorded. this process was repeated 10,000 times using a computer simulation. the number of times the sum of the five tosses equaled 26 was 53. what is the estimated probability that the sum of the five dice will be 26? (give the answer to four decimal places.)



Answer :

The estimated probability that the sum of five dice will be 26 is 0.0053

What is meant by Estimated Probability?

Estimated Probability: Estimated probability is an approximation, or estimate, of theoretical probability. The larger the number of trials, the more accurate we expect this approximation to be. If E consists of a single outcome s, we refer to P(E) as the probability of the outcome s, and write P(s) for P(E)

N = Number of Repeated Process = 10,000

n = Number of times the sum of the five tosses equaled 26 = 53

The estimated probability that the sum of the five dice will be 26 = n/N

Where n = 53

And N = 10,000

Using the above formula, we have the following:-

n/N becomes

n/N = 53/10,000

n/N = 0.0053

Hence, the estimated probability that the sum of five dice will be 26 is 0.0053

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