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

Answer 1

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)

Answer 2

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