proability :
You have a five-card deck containing a king, a queen, a jack, a two, and a three. You draw a random card, then put it back and draw a second random card. Use a tree diagram to calculate the probability that you draw exactly one "face" card (a king or a queen or a jack).

Question

anonymous · Answer

You want face card on draw one and non-face on draw two...or vice versa.

Probability is the same regardless of which order so we find one and then double it.

Probablity of face then non-face would be 3/5 x 2/5 (since there's replacement).
Which is 6/25...

Double this for the other possibility (non-face followed by face)

anonymous · Answer

it said the answer was 12/25

anonymous · Answer

yes...that is what you get when you double 6/25.

Each possibility (face then non-face or non-face then face) has probability 6/25.  That's why I said you just double it... :)

anonymous · Answer

oo ok i get it now thank you