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The game of blackjack is played with a deck consisting of 13 cards (one of each of the numbers 2-10, one jack, one queen

Expert replies
by BTGmoderatorDC » Tue Jul 07, 2020 8:42 pm

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The game of blackjack is played with a deck consisting of 13 cards (one of each of the numbers 2-10, one jack, one queen, one king, and one of ace) in each of four suits: clubs, diamonds, hearts, and spades.

In a game of blackjack, if your first card is a spade, what are the odds that it is an ace?

A. 1/52
B. 1/26
C. 1/13
D. 1/4
E. 5/13


OA C

Source: Veritas Prep
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Source: — Problem Solving |

BTGmoderatorDC wrote:
Tue Jul 07, 2020 8:42 pm
The game of blackjack is played with a deck consisting of 13 cards (one of each of the numbers 2-10, one jack, one queen, one king, and one of ace) in each of four suits: clubs, diamonds, hearts, and spades.

In a game of blackjack, if your first card is a spade, what are the odds that it is an ace?

A. 1/52
B. 1/26
C. 1/13
D. 1/4
E. 5/13

OA C

Source: Veritas Prep
We know that there are 13 spade cards; so, we have to find out the probability that the drawn card is ace. Since there's only one ace of spade, the required probability = 1/13.

Correct answer: C

Hope this helps!

-Jay
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BTGmoderatorDC wrote:
Tue Jul 07, 2020 8:42 pm
The game of blackjack is played with a deck consisting of 13 cards (one of each of the numbers 2-10, one jack, one queen, one king, and one of ace) in each of four suits: clubs, diamonds, hearts, and spades.

In a game of blackjack, if your first card is a spade, what are the odds that it is an ace?

A. 1/52
B. 1/26
C. 1/13
D. 1/4
E. 5/13


OA C

Source: Veritas Prep
You have 13 cards of each suit, hence \(4\cdot 13 = 52\) cards. You have one ace of each suit, probability that first card is ace: \(\dfrac{4}{52} = \dfrac{1}{13}\).
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BTGmoderatorDC wrote:
Tue Jul 07, 2020 8:42 pm
The game of blackjack is played with a deck consisting of 13 cards (one of each of the numbers 2-10, one jack, one queen, one king, and one of ace) in each of four suits: clubs, diamonds, hearts, and spades.

In a game of blackjack, if your first card is a spade, what are the odds that it is an ace?

A. 1/52
B. 1/26
C. 1/13
D. 1/4
E. 5/13


OA C

Solution:

Since there are 13 spades and one of them is the ace of spades, the probability that the spade card is an ace is 1/13.

(Note: We assume that by the “odds”, they mean the “probability” (since odds and probability are not quite the same.))

Answer: C

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