Problema Solution
You pick 5 cards from a deck of cards (52). What is the probability that all 5 cards are black?
Answer provided by our tutors
out of 52 cards 52/2 = 26 are black
p = C(26, 5) / C(52, 5)
p = (26!/(5!(26 - 5)!)) / (52!/(5!(52 - 5)!)
p = (22*23*24*25*26)/(2*3*4*5)) / ((48*49*50*51*52)/(2*3*4*5))
p = (22*23*24*25*26) / (48*49*50*51*52)
p = 0.02531
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the probability that all 5 cards are black is 0.02531.