One card is randomly chosen from a standard deck of 52 cards

One card is randomly chosen from a standard deck of 52 cards. If the cards are drawn without replacement, what is the probability that one Ace and a face card are chosen in either order?

Solution

AS WE HAVE TO FIND THE PROBABILITY OF ACE OR AN FACE CARD THEREFORE IT CAN BE POSSIBLE ONLY WHEN 2 CARDS ARE CHOOSEN

THERE ARE 4 ACE CARD AND 12 FACE CARDS

THE PROBABILITY OF CHOOSING ACE CARD = 4/52

PROBABILITY OF CHOSING FACE CARD = 12/52

BUT IN THIS THERE IS NO REPLACEMENT

AND THE QUESTION BEEN ASKED IN AND FORM SO MULTIPLICATION WILL BE THERE

HENCE THE PROBABILITY WILL BE 4/52*12/51 = 0.018 ( IF FIRST ACE IS TAKEN OUT)

OR 12/52*4/51 = 0.018 (WHEN FACE CARD TAKEN OUT FIRST)