Questions: Classify the statement as an example of classical probability, empirical probability, or subjective probability. The probability that a newborn baby is a boy is 1/2.
A. classical probability
B. subjective probability
C. empirical probability
Transcript text: Classify the statement as an example of classical probability, empirical probability, or subjective probability. The probability that a newborn baby is a boy is $\frac{1}{2}$.
A. classical probability
B. subjective probability
C. empirical probability
Solution
Solution Steps
To classify the given statement, we need to understand the definitions of classical, empirical, and subjective probability:
Classical Probability: Based on the assumption that all outcomes are equally likely.
Empirical Probability: Based on observed data or experiments.
Subjective Probability: Based on personal judgment or experience.
Given that the probability of a newborn baby being a boy is $\frac{1}{2}$, this is based on the assumption that there are two equally likely outcomes (boy or girl), which aligns with classical probability.
Step 1: Understand the Definitions of Probability Types
To classify the given statement, we need to understand the definitions of classical, empirical, and subjective probability:
Classical Probability: Based on the assumption that all outcomes are equally likely.
Empirical Probability: Based on observed data or experiments.
Subjective Probability: Based on personal judgment or experience.
Step 2: Analyze the Given Statement
The statement is: "The probability that a newborn baby is a boy is \(\frac{1}{2}\)."
Step 3: Classify the Probability
Given that the probability of a newborn baby being a boy is \(\frac{1}{2}\), this is based on the assumption that there are two equally likely outcomes (boy or girl). This aligns with the definition of classical probability.
Final Answer
The statement "The probability that a newborn baby is a boy is \(\frac{1}{2}\)" is an example of \(\boxed{\text{classical probability}}\).