3 hearts = red cards
8 diamands = red cards
6 spades = black cards
It means that total number of red cards is 11, total number of black cards is 6 and total amount of cards is 17 (in this deck)
so probabilty of choosing red card from this deck will be 11 to 17 (red cards to all cards in this deck)
[tex]11:17[/tex]
or you can write it down as percentage
[tex] \frac{11}{17}*100\%=\frac{11*100}{17}\%\approx67,71\%[/tex]
Your answer then is 67.71% or probabilty of chosing red card is like 11 to 17