From a nine-member dance group, five will be chosen at random to volunteer at a youth dance event. If Kori and Jason are two of the nine members, what is the probability that both will be chosen to volunteer?  Choices:
A) a) 1/21
B) b) 35/2
C) c) 4/21
D) d) 2/7
E) e) 3/7
Total number of ways to choose 5 out of 9 = 9C5 = 144.   Number of ways to choose 2 (any but Kori and Jason) out of 7 (excluding Kori and Jason) = 7C2 = 2520.   P = favorable/total = 2520/144 = 35/2.   Answer: b) 35/2.
<result>B</result>
From a nine-member dance group, five will be chosen at random to volunteer at a youth dance event. If Kori and Jason are two of the nine members, what is the probability that both will be chosen to volunteer?