Questions: Question 7
A single card is drawn from a standard 52-card deck. The probability of drawing a face card. (a) 12/52 (b) 4/52 (c) 1/52 (d) 8/52 (a) (b) (c) (d) Question 8
Consider tossing a coin two times in a row.
Transcript text: Question 7
A single card is drawn from a standard 52-card deck. The probability of drawing a face card. (a) $\frac{12}{52}$ (b) $\frac{4}{52}$ (c) $\frac{1}{52}$ (d) $\frac{8}{52}$ (a) (b) (c) (d) Question 8
Consider tossing a coin two times in a row.
Solution
Solution Steps
To find the probability of drawing a face card from a standard 52-card deck, we need to determine the number of face cards in the deck and divide it by the total number of cards. A standard deck has 12 face cards (Jack, Queen, King in each of the four suits). Therefore, the probability is the number of face cards divided by the total number of cards.
Step 1: Determine the Total Number of Cards
A standard deck of cards contains a total of 52 cards.
Step 2: Identify the Number of Face Cards
In a standard deck, there are 12 face cards, which include the Jack, Queen, and King from each of the four suits.
Step 3: Calculate the Probability
The probability P of drawing a face card is given by the formula:
P=Total Number of CardsNumber of Face Cards=5212
This simplifies to:
P=133≈0.2308
Final Answer
The probability of drawing a face card is approximately 0.2308, and the answer to the multiple-choice question is a.