Answer:
[tex]\frac{(26c6*26c1)+(26c7*26c0)}{52c7}[/tex] probability that at least 6 cards drawn are red
Step-by-step explanation:
Total cards drawn = 7
total cards on deck = 52
Total possibility from 52 cards = [tex]52_{c}[/tex] = 133784560
Note : in a standard card deck (52) there are : 13 spades, 13 clubs, 13 hearts and 13 diamonds and they contain king,queen, jack and ace , 2,3,4,5,6,7,8,9 and 10
Note : there are only two colors ( red and black ) : spades and clubs are black while hearts and diamonds are red
probability that at least out of 7 cards drawn 6 cards are red
P ( red ≥ 6 ) = ( 6 red , 1 black ) , ( 7 red , 0 black )
= 26c[tex]_{6}[/tex] * 26c[tex]_{1}[/tex] + 26c[tex]_{7}[/tex] * 26c[tex]_{0}[/tex]
probability = [tex]\frac{(26c6*26c1)+(26c7*26c0)}{52c7}[/tex]
