a) 13 we know that the number of clubs in the deck/52 that the total number of cards in the deck =0 .25= 25%.
b) 12 the remaining number of clubs in the deck/51 the remaining number of cards in the deck = 0.235= 23.5%.
c) 11 same as above/50 the same as above = 0.22= 22%
d) 10/49 = 20.4%
e) 9/48 = 18.75%
f) The combinations that can be made with certain characteristics are
limited to say: ace of clubs to 12 other clubs, two of clubs to 12 other
clubs, three of clubs to 12 other clubs, etc. As the desired outcome is
reached, the probable outcome percentages must be multiplied together
to accommodate all combinations. the probability is .049%.
g) probability of dealt a flush is
13*12*11*10*9*4/52*51*50*49*48 = 617,760/311,875,200 = 0.00198079232, or
0.2% when round up. This is any of the 13 cards needed in a particular
suit, times any of the remaining 12, times any of the remaining 11 after
that, and so on multiplied by 4 since there are four suits in which
this can occur. This is divided by the number of cards in the deck 52
times the remaining cards when that's drawn, and so on and so forth.
