Joslyn performed an experiment using a die with its faces numbered from 1 to 6. She rolled the die and recorded whether the 5 landed face up. She repeated the process many times and kept a cumulative record of the
total number of rolls and the total number of Ss landing face up. The following table shows part of her record.

Suppose Joslyn could roll the die 10.000 times and keep a record of the total number of Ss landing face up in the 10,000 rolls What would such a record Illustrate?

The Law of large numbers states that if we observe more and more reptitiions of any chance process, the proportion of times that a specific outcome occurs approaches a single value.

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fichoh fichoh · Answer 2 · 2021-11-11T03:56:47+01:00

The experiment embarked upon by Joselyn involving the roll of a die for a large number of trials would illustrate an experiment which illustrates the law of large numbers.

The law of large numbers simply describes the repeated performance of an experiment for a large number of trials. The law states that, as the number of experimental trials is increased, the expected value of the experiment is approached.

In Joselyn's experiment, the expected value of obtaining a 5 is 1/6. Hence, as the number of trials increases, the probability of having 5 continually approaches 1/6.

Hence, the experiment illustrates the law of large numbers.

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