A bag contains 5 marbles that are each a different color. A...

Name: Problem 16, Chapter 12: Geometry A Common Core Curriculum
Uploaded: 2021-08-26T01:16:30-08:00
Duration: 5 min 23 s
Channel: Olivier Anderson
Description: A bag contains 5 marbles that are each a different color. A marble is drawn, its color is recorded, and then the marble is placed back in the bag. This process is repeated until 30 marbles have been drawn. The table shows the results. For which marble is the experimental probability of drawing the marble the same as the theoretical probability? (Table Cant Copy)

A bag contains 5 marbles that are each a different color. A marble is drawn, its color is recorded, and then the marble is placed back in the bag. This process is repeated until 30 marbles have been drawn. The table shows the results. For which marble is the experimental probability of drawing the marble the same as the theoretical probability? (Table Cant Copy)

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Key Concepts

Sampling with Replacement

In experiments where an item is returned to the set after each selection, the probability of selecting any item remains constant across trials. This ensures that each draw is independent, which is key when comparing experimental results to theoretical probabilities.

Experimental Probability

This is the probability based on observed data from an experiment. It is calculated as the ratio of the number of times a specific event occurred to the total number of trials. In this context, the experimental probability is determined by the frequencies recorded in the table from drawing the marbles.

Theoretical Probability

This is the probability calculated based on known parameters or assumptions about a random process without experimental data. For example, when each outcome is equally likely, such as drawing one of several distinct items, the theoretical probability can be computed as the ratio of the favorable outcomes to the total possible outcomes.