Question

dawn draws 1 card replaces it and draws another card is it more likely that she draws 2 red cards or 2 face cards?

Answer 1

Way:

ok

so from comments
36 face cards
26 red cards

the probablity of drawin 2 face cards (picking, replacing, picking) is (36/52)² or 81/169

the the probablity of drawin 2 red cards (picking, replacing, picking) is (26/52)²=1/4


81/169_1/4
(blank is relation symbol like >, =, or <)
if we use calculator
0.47.._0.25
0.47>0.25
it is more probable to get 2 face cards in a row than 2 red cards (even tho it is more probable to get a mix)