How would you find the probability of drawing a face card and a 4 out of a standard deck of 52 cards? I got 4/13 but I don't think its right.

Answer 1

there are 13 numbers, and 3 of them are face cards. So, 3/13 would be the answer. Maybe you counted aces as face cards.

Answer 2

Anonymous -- I think you forgot the 4.

Answer 3

Theres 12 face cards (4 queens, 4 kings, and 4 jacks) and 4 fours. What would you do with 12/52 and 4/52?

Answer 4

oops. Guess I didn't read it right. Good catch.

Answer 5

Do I add them and that's it or do I do something else?

Answer 6

Jane, from your wording it is not clear if the first card drawn is returned to the deck or not.

Suppose it is not returned

could be F4 or 4F
= (12/52)(4/40) + (4/52)(12/40)

= 3/130 + 3/130
= 3/65

Your answer suggests that the card is returned after it is drawn.
Then it would be (12/52)(4/52) = 3/169 for the F4
but it could have been 4F, for another 3/169

so the prob when the card is returned = 3/169+3/169 = 6/169