While blindfolded, Julie shuffled a deck of cards, then selected 29 cards. Is this sample of the cards in the deck likely to be biased? Choices: (A)yes (B)no

Shuffling and Selection Process: Julie shuffled a deck of cards while blindfolded and then selected 29 cards. We need to determine if this sample is likely to be biased. Since Julie was blindfolded and shuffled the deck, it suggests that each card had an equal chance of being selected without any preference or influence. Understanding Bias in Sampling: To understand bias in sampling, consider that bias occurs when the method of selection favors some outcomes over others. In Julie's case, being blindfolded and shuffling the deck should theoretically prevent any bias because she couldn't see or remember the cards to influence her choice. Random and Unbiased Sample: Since the selection process was random due to the shuffling and blindfold, the sample of 29 cards is not likely to be biased. This means that each card had an equal probability of being chosen, which is a key aspect of a random and unbiased sample.

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While blindfolded, Julie shuffled a deck of cards, then selected $29$ cards. $\newline$ Is this sample of the cards in the deck likely to be biased? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Precalculus

Identify biased samples

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Q. While blindfolded, Julie shuffled a deck of cards, then selected

29

cards.

\newline

Is this sample of the cards in the deck likely to be biased?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Shuffling and Selection Process: Julie shuffled a deck of cards while blindfolded and then selected $29$ cards. We need to determine if this sample is likely to be biased. Since Julie was blindfolded and shuffled the deck, it suggests that each card had an equal chance of being selected without any preference or influence.
Understanding Bias in Sampling: To understand bias in sampling, consider that bias occurs when the method of selection favors some outcomes over others. In Julie's case, being blindfolded and shuffling the deck should theoretically prevent any bias because she couldn't see or remember the cards to influence her choice.
Random and Unbiased Sample: Since the selection process was random due to the shuffling and blindfold, the sample of $29$ cards is not likely to be biased. This means that each card had an equal probability of being chosen, which is a key aspect of a random and unbiased sample.