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vovikov84 [41]
1 year ago
14

Joslyn performed an experiment using a die with its faces numbered from 1 to 6. She rolled the die and recorded whether the 5 la

nded 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?
Mathematics
1 answer:
sasho [114]1 year ago
7 0

Answer:

The law of large numbers

Step-by-step explanation:

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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Answer:

1

p(b) =  \frac{1}{6}

2

p(k) =  \frac{1}{3}

3

P(a) =  \frac{1}{3}

Step-by-step explanation:

Generally when two fair 6-sided dice is rolled the doubles are

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Generally the probability that doubles (i.e., having an equal number on the two dice) were rolled is mathematically evaluated as

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p(b) =  \frac{6}{36}

p(b) =  \frac{1}{6}

Generally when two fair 6-sided dice is rolled the outcome whose sum is 4 or less is

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Looking at this outcome we see that there are two doubles present

So

The conditional probability that doubles were rolled is mathematically represented as

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p(k) =  \frac{1}{3}

Generally when two fair 6-sided dice is rolled the number of outcomes that would land on different numbers is L = 30

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So

The conditional probability that at least one die is a 1 is mathematically represented as

P(a) =  \frac{W}{L}

=> P(a) =  \frac{10}{30}

=> P(a) =  \frac{1}{3}

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