Joshua and Jose work at an auto repair center with 3 other workers. For a survey on health care insurance, 2 of the 6 workers will be randomly chosen to be interviewed. What is the probability that Joshua and Jose will both be chosen?
Choose one.
A) 1/15  B) 1/10  C) 1/9  D) 1/6  E) 1/3
Two Methods   1) Probability of chosing Josh first = 1/5   Probability of chosing Jose second = 1/4   total = 1/20   Probability of chosing Jose first = 1/5   Probability of chosing Josh second = 1/4   Total = 1/20   Final = 1/20 + 1/20 = 1/10   1/10
<result>B</result>
Joshua and Jose work at an auto repair center with 3 other workers. For a survey on health care insurance, 2 of the 6 workers will be randomly chosen to be interviewed. What is the probability that Joshua and Jose will both be chosen?