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A standard deck of playing cards is made up of $26\text{ red cards}$ and $26\text{ black cards}$. Robbie shuffles and deals a card and records its color. She replaces the card in the deck and repeats this process $25\text{ times}$, obtaining $10\text{ red cards}$ and $15\text{ black cards}$ - only $40\%$ red!

Robbie wonders if the deck of cards has an unusually small proportion of red cards.

What is the probability of obtaining a sample proportion less than or equal to $0.4$?

A

$0.16$

B

$0.26$

C

$0.74$

D

$0.84$

E

The conditions for using the normal model are not met in this situation.

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