# MATH!! probability

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Two cards are drawn without replacement from a deck of 52 cards.
Determine P(A and B) where
A : the first card is a spade
B: the second card is a face card

• MATH!! probability -

Since a tutor hasn't answer I'll try

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

• MATH!! probability -

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

• MATH!! probability -

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