You are dealt a hand of three cards, one at a time. what is the probability that your cards are all red? (3 decimal places)

Well it depends on what deck they are dealt
a standard deck is 52 card, 26 black, 26 red

the chance of the first card being red = 26/52 (1/2)
second card, 25/51
3th card: 24/50

the chance of these 3 events happening just after eachother = 
26/52 * 25/51 * 24/50 = 26*25*24 / (52*51*50) = 15 600 / 132 600
this fraction equals = 2/17th

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