By definition, there are 12 face cards (Kings, queens, and jacks) and 36 numbered cards (2's through 10's) in a standard deck of 52 cards. Aces are not considered face cards (no face on the card).
The ratio of face cards in a full deck is (12/52) or slightly over 23%.
The likelihood of a face card in a hand of 8 cards is:
(8 cards)*(12 face cards/52 cards) = 1.85 cards. We need to round to the nearest whole card, so the expected number of face cards in a hand of 8 is 2 cards.
Starting with the point (-1, 4) and the slope m = -3, write out the point-slope equation of a straight line: y - k = m(x - h) becomes y - 4 = -3(x + 1), or:
y = -3x - 3 + 4
y = -3x + 1 This is the same as answer choice (b).
