In the following exercises, solve. (Round decimals to three...

Name: Problem 633, Chapter 5: Prealgebra
Uploaded: 2020-04-05T18:38:44-08:00
Duration: 55 s
Channel: Elizabeth Xu
Description: In the following exercises, solve. (Round decimals to three places.) Luc has to read 3 novels and 12 short stories for his literature class. The professor will choose one reading at random for the final exam. Find the probability that the professor will choose a novel for the final exam. Express your answer as a fraction and as a decimal.

In the following exercises, solve. (Round decimals to three places.) Luc has to read 3 novels and 12 short stories for his literature class. The professor will choose one reading at random for the final exam. Find the probability that the professor will choose a novel for the final exam. Express your answer as a fraction and as a decimal.

In the following exercises, solve. (Round decimals to three places.)
Luc has to read 3 novels and 12 short stories for his literature class. The professor will choose one reading at random for the final exam. Find the probability that the professor will choose a novel for
the final exam. Express your answer as a fraction and as a decimal.

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Key Concepts

Decimal Conversion and Rounding

Decimal conversion involves transforming a fraction into its decimal form, which may then need to be rounded to a specified number of decimal places. Rounding is used to simplify the decimal representation, making it easier to interpret, particularly when an exact value is not required.

Classical Probability

Classical probability involves determining the likelihood of an event by comparing the number of favorable outcomes to the total number of equally likely outcomes. In the context of this problem, it is used to calculate the chance of selecting a desired type (novel) from a set of all readings.

Counting the Sample Space

Counting the sample space is the process of identifying the total number of possible outcomes, which in this case is the sum of the number of novels and short stories. This step is crucial because it sets the denominator for the probability calculation.

Fraction Representation

Expressing a probability as a fraction involves writing the ratio of favorable outcomes to the total outcomes. This representation is fundamental in probability theory as it provides an exact value that can later be used for further analysis or conversion to other forms.

Transcript

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