Two cards are drawn without replacement from a deck of 52 cards.

Question

Determine P(A and B) where
A : the first card is a spade
B: the second card is a face card

please help!!

Answer 1

Since a tutor hasn't answer I'll try

A. 1st is a spade
P = S/N
Number of spades in deck = 13 = S
Number of cards = 52 = N
P = S/N = 13/52 = 1/4

B. 2nd is a face card
P = S/N
Number of face cards in deck = 13 = S
Number of cards = 52 - 1 = 51 = N
P = S/N = 13/51

P = P(A) * P(B)
P = 1/4 * 13/51 = 13/204

Not a tutor but I think it is correct
maybe a tutor will answer

Answer 2

number of spades = 13
number of face cards = 12
number of face OR faces = 21

P(A and B) = P(A) + P(b) - P(A or B)
= 13/52 + 12/52 - 21/52 = 4/52 = 1/13

Answer 3

Number of Spades in deck=1/13