From a seven-member dance group, three will be chosen at random to volunteer at a youth dance event. If Kori and Jason are two of the seven members, what is the probability that both will be chosen to volunteer? Choose the correct answer.
A) a) 1/42  B) b) 1/7  C) c) 4/21  D) d) 2/7  E) e) 3/7
Total number of ways to choose 3 out of 7 = 7C3 = 420.   Number of ways to choose 2 (any but Kori and Jason) out of 5 (excluding Kori and Jason) = 5C2 = 10.   P = favorable/total = 10/420 = 1/42.   a) 1/42nswer: a) 1/42.
<result>A</result>
From a seven-member dance group, three will be chosen at random to volunteer at a youth dance event. If Kori and Jason are two of the seven members, what is the probability that both will be chosen to volunteer?