Twenty draws are made with replacement from a standard deck of playing cards. Find the chance of
(1) getting all non-aces
(2)not getting all non-aces
(3) getting at least one ace.
(4) Getting no red ace.
Number of aces in a deck = 4
Total number of cards in a deck = 52
Number of non aces = 52 - 4 = 48
Number of draws = 20
1) P(non ace) = 48/52 = 12/13
P(getting all non aces) = (12/13)20
= 0.2017
2) P(not getting all non aces) = 1 - P(getting all non aces)
= 1 - 0.2017
= 0.7983
3) P(getting at least one ace) = 1 - P(getting all non aces)
= 0.7983
4) Number of red aces = 2
P(red ace) = 2/52 = 1/26
P(not a red ace) = 1 - 1/26 = 25/26
P(getting no red ace) = (25/26)20
= 0.4564
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