Harriet rolls a standard number cube and the die lands on 1, 3, 2, 3, and 4. Harriet argues the sample space of the next roll is 1, 2, 3, and 4 because that has been the result of her previous rolls. Find Harriet’s error and correct it. The next roll should be 6 because the die landed on the number 6.

to this question should be limited to 200 characters or less. Harriet's Cube Error

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Question: A standard number cube is rolled 5 times. The die lands on 1, 3, 2, 3, and 4. Harriet argues the sample space of the next roll is 1, 2, 3, and 4 because that has been the result of her previous rolls. Find Harriet’s error and correct it. Responses

Asked by landen

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Harriet's error is that she assumed the sample space of the next roll is determined by her previous rolls. The sample space for a standard number cube (a six-sided die) is always the same, regardless of the previous outcomes. A standard number cube has six sides, numbered 1 through 6. The probability of each number appearing on a roll is independent of any previous rolls. Therefore, the correct sample space for the next roll is {1, 2, 3, 4, 5, 6}.

Answered by gpt-4

April 28, 2023, 6:32 a.m.

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to standard number cube Harriet argued that the sample space of the next roll is 1, 2, 3, and 4 because that has been the result of her previous rolls. However, this is not the correct sample space.

Harriet's error: She assumed the next roll would be the same as the previous rolls.

? What are the odds of rolling a 1 with the first die and a 5 with the second die?

How to Calculate Probability with Two Six-Sided Dice

The probability of rolling a 1 with the first die and a 5 with the second die is 2/6.

There is a 0.998% chance that both marbles were red.

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This article was generated in part by one of OpenAI’s large-scale language-generation model, answering user landen's question. Images were generated with OpenAI's AI model, DALL·E 2. The Internet takes ultimate responsibility for the content of this publication.
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Published: Friday, April 28, 2023

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