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 probability of drowing red card is B
26
To answer these questions, we need to determine the total number of possible outcomes and the number of favorable outcomes for each case.
There are 52 cards in a standard deck, where half of them are red (26 red cards) and the other half are black.
A. Probability of drawing a red card:
Favorable outcomes: 26
Total outcomes: 52
Probability = Favorable outcomes / Total outcomes = 26/52 = 1/2
B. Probability of drawing a queen:
There are 4 queens in a deck (2 red and 2 black).
Favorable outcomes: 4
Total outcomes: 52
Probability = Favorable outcomes / Total outcomes = 4/52 = 1/13
C. Probability of drawing a red queen:
Favorable outcomes: 2 (2 red queens)
Total outcomes: 52
Probability = Favorable outcomes / Total outcomes = 2/52 = 1/26
D. Probability of drawing a queen given that you drew a face card:
There are 12 face cards in a deck (4 jacks, 4 queens, and 4 kings).
Favorable outcomes: 4 (4 queens)
Total outcomes: 12 (the condition is that you drew a face card)
Probability = Favorable outcomes / Total outcomes = 4/12 = 1/3
Remember, in calculating probability, it is important to express it as a fraction or decimal.