Problema Solution
if you are dealt 3 cards from a shuffled deck of 52 cards, find the probability that all 3 cards are clubs.
Answer provided by our tutors
The probability is the number of possible ways to draw 3 clubs divided by the total number of 3 card draws:
p=(13C3)/(52C3)= (13!/(3!(13-3)!)))/(52!/(3!(52 - 3)!)))
13C3 = 13!/(3!(13-3)!)) = 13!/(3!*10!) = 286
52C3 = 52!/(3!(52 - 3)!) = 52!/(3!*49!) = 22100
p = 286/22100
p = 0.01294
the probability is 0.01294.