If a card is selected randomly from a standard 52-card deck, what is the probability that we draw a face card?
12/52=3/13
To calculate the probability of drawing a face card from a standard 52-card deck, we need to determine the number of favorable outcomes (face cards) and the total number of possible outcomes (cards in the deck).
Step 1: Determine the number of favorable outcomes:
In a standard deck, there are 12 face cards (4 jacks, 4 queens, and 4 kings).
Step 2: Determine the total number of possible outcomes:
A standard deck contains 52 cards.
Step 3: Calculate the probability:
The probability is given by the ratio of favorable outcomes to total outcomes.
Probability = Number of Favorable Outcomes / Number of Total Outcomes
Therefore, the probability of drawing a face card is:
Probability = 12 (number of face cards) / 52 (total number of cards)
Probability = 3/13 (simplified fraction)
So, the probability of drawing a face card from a standard 52-card deck is 3/13 or approximately 0.231 or 23.1%.