From a well-shuffled pack of playing cards, black jacks, black kings, and black aces are removed. A card is then drawn at random from the pack. Find the probability of getting a red card?

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\frac{13}{23}

\frac{11}{23}

\frac{10}{23}

\frac{17}{23}

answer is A.

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Detailed Solution

It is given that blackjacks, black kings, and black aces are removed from the deck.
There will be 2 black jacks, 2 black kings, 2 black aces in the deck of cards.
So, the total number of cards removed are 2+2+2 = 6 black cards.
The P(A) of the random experiment as,

P (A) = \frac{Number of favorable outcomes}{Total number of outcomes}

The total number of cards in a deck is 52.
Total number of cards left, 52-6 = 46 cards.
The number of red cards in the deck is 26 cards.
Therefore, favorable outcomes are 26.
So, the possible outcome is 26.
P(E)