A card is drawn from an ordinary deck of 52 well-shuffled cards. Find the probability that it is (i) neither red nor an ace; (ii) neither the ten of clubs nor an ace.
(i) neither red nor an ace;
number of reds = 26
number of aces = 4
number of reds & aces = 2
either red or ace = 28
P( neither red nor ace) = 1 - P(either red or ace)
P(either red or ace) = 28/52
so req prob = 1 - 28/52 = 24/52 = 12/26 = 6/13
(ii) Neither the ten of clubs Nor an ace.
# of Ten's of clubs = 1
# of aces = 4
ten's of clubs or aces = 5 cards
total cards = 52
similar method as in 1.
P( either ten of clubs or ace) = 5/52
reqd prob = 1- 47/52