<PRE><B>Question 855887</B>
Hi,
Re TY
Super!!! You have a great week as well.
Write all answers as simplified fractions. 
1 and 2 identical

12 face cards (K, Q, J in each of the 4 suits)

card drawn

P(facecard) = 12/52 = 3/13 
P(not a facecard) = 40/52 = 10/13
Write all answers as simplified fractions.
odds in favor : 3:10, odds against:   10:3

7) 33 marbles: 1 gold, 9 silver  and 23 black marbles.

E = $4(1/33) + $3(9/33) - $1(23/33) = $4/33 + $27/33 - $23/33 = $8/33 = $0.24 

7) 34 marbles: 3 gold, 8 silver  and 23 black marbles.

E =$4(3/34) + $3(8/34) - $1(23/34) = $13/34 = $0.38</PRE>