You have a 3-card deck containing a king, a queen, and a jack. You draw a random card, then put it back and draw a second random card. Calculate the probability that you draw exactly 1 king.

Question

lgbasallote · Answer

probability you draw a king at first is 1/3

then probability you DONT draw a king is 2/3

so simply multiply

1/3 x 2/3

then you have your answer

zarkon · Answer

KK
KQ
KJ
QK
QQ
QJ
JK
JQ
JJ


4 out of 9 have one king

lgbasallote · Answer

wait...so im wrong?

zarkon · Answer

P(one king)
=P(1st king 2nd not king)+P(1st not king and 2nd is king)

$$=\frac{1}{3}\times\frac{2}{3}+\frac{2}{3}\times\frac{1}{3}=\frac{4}{9}$$

lgbasallote · Answer

hmm i see