Consider a standard 52-card deck of playing cards if I randomly draw one card from the deck, what is the probability that
a). the card is a face card, given that the card is red
b). the card is red, given that the card is a face card
I find : 12 / 26 and 26 / 52 ?
Is this right ?
Thanks !
I'm confused on what the question is really asking, what does it mean by "given"?
Given is just a word to say that the card is : I guesss :p
Im also so confused ! To me those questions are excatly the same but I know they are not and I keep on searching but Im lost !
P(Face card / Red) = [Probability of a Face Card and Probability of a Red Card] / [Probability of a Red Card} = [12/52 * 1/2] / [ 1/2] = [ 6/52] /[ 1/2] = 12/52 = 6/26 = 3/13
P(Red Card / Face Card) = [ [Probability of a Face Card and Probability of a Red Card] / [Probability of a Face Card] = [ 12/52 * 1/2] / [12/52] = 1/2