You draw one card from a shuffled standard deck or cards (cards are in four suits-red diamonds, red heart, black clubs and black spades-and are numbered 2,3,4,5,6,7,8,9,10, J,O,K,A).
A.What is the probability of drawing a red card
B.What is the probability of drawing a queen
c. What is the probability of drawing a red queen.
d. What is the probability of drawing a queen given that you drew a face card (face card are jacks, queens, and kings).
A. 26/52 = ?
B. How many queens are there? Divide by 52.
C. How many red queens are there? Divide by 52.
D. If the face card was replaced, no different from B.
If not replaced, and queen drawn, 3/51. Or if queen not drawn, 4/51.
Either-or probabilities are found by adding the individual probabilities.
I'm not sure about D.
thanks a bunch
To find the probability of drawing a certain card from a deck, we need to know the total number of possible outcomes (denominator) and the number of favorable outcomes (numerator).
In a standard deck of cards, there are 52 cards.
A. To find the probability of drawing a red card, we need to determine the number of red cards in the deck. There are two red suits (diamonds and hearts), each with 26 cards. So, the numerator is 26, and the denominator is 52. The probability of drawing a red card is therefore:
Probability of drawing a red card = Number of red cards / Total number of cards
= 26 / 52
= 1/2
= 0.5
B. To find the probability of drawing a queen, we need to determine the number of queens in the deck. There are 4 queens in total (one for each suit: diamond, heart, club, spade). The probability of drawing a queen is:
Probability of drawing a queen = Number of queen cards / Total number of cards
= 4 / 52
= 1/13
≈ 0.077
C. To find the probability of drawing a red queen, we need to determine the number of red queens in the deck. There are two red suits (diamonds and hearts), and each suit contains one queen. So, the numerator is 2, and the denominator is still 52. The probability of drawing a red queen is:
Probability of drawing a red queen = Number of red queen cards / Total number of cards
= 2 / 52
= 1/26
≈ 0.038
D. To find the probability of drawing a queen given that you drew a face card, we need to determine the number of favorable outcomes and the number of total outcomes.
First, let's find the number of face cards in the deck. There are three face cards in each suit (jack, queen, and king). Since there are four suits, there are a total of 3 x 4 = 12 face cards.
The denominator will be the total number of face cards, which is 12.
Now, we need to find the number of queens among the face cards. Since there is one queen in each suit, the numerator is 4.
Probability of drawing a queen given that you drew a face card = Number of queen face cards / Total number of face cards
= 4 / 12
= 1/3
≈ 0.333