Find the probabilities that would be calculated in the lab.Group of items: Deck of cardsCharacteristics of interest: Color of cardPossible outcome: Red face or Black faceNumber of items = 52 cards in a deckAction: A student can be asked to pick a random card from the deck of 52 cards and be required to find the probability of picking a black face

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ANSWER

[tex]\frac{3}{26}[/tex]

EXPLANATION

We want to find the probability of picking a black face from a deck of 52 cards.

In a deck of 52 cards, there are only red or black cards but there are only 12 faced cards: 6 red-faced cards and 6 black-faced cards.

The probability of picking a black face card is the number of black-faced cards divided by the total number of cards.

That is:

[tex]\begin{gathered} P(black-faced\text{ }card)=\frac{6}{52} \\ P(black-faced\text{ }card)=\frac{3}{26} \end{gathered}[/tex]

That is the probability of picking a black face.

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