Two cards are chosen from a standard deck of 52 cards. Suppose that you win $2 for each heart selected, and lose $1 for each spade selected. Other suits (diamonds or clubs) bring neither win nor loss. Let X denote your winnings.

(a) What are the possible values of X?
(b) What are the probabilities associated to each value?

The figure shows triangle def and line segment bc, which is parallel to ef: triangle def has a point b on side de and point c on side df. the line bc is parallel to the line ef. part a: is triangle def similar to triangle dbc? explain using what you know about triangle similarity. part b: which line segment on triangle dbc corresponds to line segment ef? explain your answer. part c: which angle on triangle dbc corresponds to angle f? explain your answer. asap