Pick a random card from a deck of cards without jokers, i. e., a 52-card deck. Let A = fcard is an Aceg and R = fcard is redg. Are A and R independent? Now, pick two cards out of the deck sequentially without replacement. Are F = frst card is an Aceg and S = fsecond card is an Aceg independent?

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