Homework SourseHow many poker hands are there a with 1 red card and 4 black
How many poker hands are there
a) with 1 red card and 4 black cards?
b) with exactly 2 aces?
c) with exactly 2 aces and 2 kings?
Solution
a) with 1 red card and 4 black cards?
No of ways to get 1 red card = 26C1 = 26
No of ways to get 4 black cards = 26C4 = 14,950
Total No of ways = 26*14950 = 388,700
b) with exactly 2 aces?
No of ways to get 2 aces = 4C2 = 6
c) with exactly 2 aces and 2 kings?
No of ways to get 2 aces = 4C2 = 6
No of ways to get 2 kings = 4C2 = 6
Total No of ways = 6*6 = 36.
