Question

You have a four-card deck containing a king, a queen, 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).

Write fractions using the slash ( / ) key. Reduce fractions to their lowest terms.

Answer 1

I am not good at tree diagrams but I can solve this sum for you. Hope you can draw the tree diagram by yourself/

P(face card)= 2/4 = 1/2
P(not face card) = 2/4 = 1/2

P(that draw exactly one "face" card)
= P(drawing "face" card) on 1st turn and not on 2nd turn) or P(not drawing face card on 1st and drawing "face" card on 2nd turn )

= (1/2)(1/2) + (1/2)(1/2)
=1/2

Answer 2

Thank you very much for your effort.