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Tom put on a blindfold and picked $47$ jelly beans from a jar. $\newline$ Is this a random sample of the jelly beans in the jar? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Identify representative, random, and biased samples

Full solution

Q. Tom put on a blindfold and picked

47

jelly beans from a jar.

\newline

Is this a random sample of the jelly beans in the jar?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Random Sample Concept: Understand the concept of a random sample. $\newline$ A random sample means each item has an equal chance of being selected, without bias.
Tom's Selection Method: Analyze Tom's method of selection. $\newline$ Tom picked jelly beans while blindfolded, which suggests he did not see which jelly beans he was picking.
Potential Biases Consideration: Consider any potential biases in the selection process. $\newline$ Since Tom was blindfolded, it's likely that he couldn't choose based on color, size, or shape; however, if the jar wasn't mixed well, some jelly beans might have been more likely to be picked than others.
Random Selection Decision: Decide if the selection can be considered random. $\newline$ Given that Tom did not deliberately choose specific jelly beans and assuming the jelly beans were well mixed, his method approximates a random sample.

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