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Without looking, Amelia took $27$ coins out of a jar of equal-valued coins. $\newline$ Is this sample of the coins in the jar likely to be biased? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Identify biased samples

Full solution

Q. Without looking, Amelia took

27

coins out of a jar of equal-valued coins.

\newline

Is this sample of the coins in the jar likely to be biased?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Understand the problem: Step $1$ : Understand the problem. $\newline$ Amelia took $27$ coins from a jar without looking. We need to determine if this method of selecting coins introduces any bias in the sample.
Analyze the method: Step $2$ : Analyze the method of selection. $\newline$ Since Amelia did not look while taking the coins, each coin in the jar had an equal chance of being selected. This method is random.
Conclude if biased: Step $3$ : Conclude if the sample is biased. Random selection reduces the chance of bias in the sample. Therefore, the sample of coins is likely not biased.

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