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.

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: \[ P = \frac{\text{Number of Face Cards}}{\text{Total Number of Cards}} = \frac{12}{52} \] This simplifies to: \[ P = \frac{3}{13} \approx 0.2308 \]