When drawing a card from a deck, the P(face card and red) is:

There are 52 cards in the deck; 13 in each of the four suits, and two of the suits are red.

The four face cards in each suit are: jack, queen, king, and ace.

P(face card) = 4/13
P(red) = 1/4

The events are independent. The probability of an intersection of independent events is the product of the probabilities of each individual event.
P(A ∩ B) = P(A) × P(B)

I read that as drawing only one card

and wanting the prob(a red face card)
there are 8 red face cards

so prob(a red face card ) = 8/52 = 2/13

To find the probability of drawing a face card (which includes Jacks, Queens, and Kings) that is also red from a standard deck of 52 cards, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes.

Step 1: Determine the number of favorable outcomes.
In a standard deck of 52 cards, there are 6 face cards that are also red (two red Jacks, two red Queens, and two red Kings).

Step 2: Determine the total number of possible outcomes.
A standard deck of 52 cards has 52 possible outcomes.

Step 3: Calculate the probability.
P(face card and red) = Number of favorable outcomes / Total number of possible outcomes
P(face card and red) = 6 / 52

Therefore, the probability of drawing a card that is both a face card and red from a standard deck of 52 cards is 6/52, which simplifies to 3/26 or approximately 0.1154.

To find the probability of drawing a face card (i.e., Jack, Queen, or King) and a red card from a standard deck of 52 playing cards, we need to understand the concept of probability and how to calculate it.

Step 1: Determine the sample space
The sample space represents all possible outcomes. In this case, since we are drawing one card from a deck, the sample space would be the total number of cards in the deck, which is 52.

Step 2: Identify the favorable outcomes
To find the favorable outcomes, we need to count the number of face cards that are red. In a standard deck, there are 26 red cards (13 hearts and 13 diamonds), and out of these, there are 6 face cards (3 Jacks, 3 Queens, and 3 Kings).

Step 3: Calculate the probability
The probability of an event occurring is equal to the number of favorable outcomes divided by the total number of possible outcomes (sample space). So, in this case, the probability of drawing a face card and a red card would be:

Probability = Number of favorable outcomes / Total number of possible outcomes

Number of favorable outcomes = 6
Total number of possible outcomes = 52

Probability = 6/52

Simplifying this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2:

Probability = 3/26

Therefore, the probability of drawing a face card and a red card from a deck is 3/26.