SOLUTION: Consider a political discussion group consisting of 5 Democrats, 6 Republicans, and 4 Independents. Suppose that two group members are randomly selected, in succession, to attend a

Algebra ->  Probability-and-statistics -> SOLUTION: Consider a political discussion group consisting of 5 Democrats, 6 Republicans, and 4 Independents. Suppose that two group members are randomly selected, in succession, to attend a      Log On


   

Question 1146700: Consider a political discussion group consisting of 5 Democrats, 6 Republicans, and 4 Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention. What is the probability of selecting no Republicans?
[round to the nearest thousandth]
Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13367) About Me  (Show Source):
You can put this solution on YOUR website!


Response deleted -- I didn't answer the question that was asked

Answer by ikleyn(53937) About Me  (Show Source):
You can put this solution on YOUR website!
.
Consider a political discussion group consisting of 5 Democrats, 6 Republicans, and 4 Independents.
Suppose that two group members are randomly selected, in succession, to attend a political convention.
What is the probability of selecting no Republicans?
[round to the nearest thousandth]
~~~~~~~~~~~~~~~~~~ 


In all, there are 5 + 6 + 4 = 15 members in the political discussion group.


The probability that the first chosen person is non a Republican is %285%2B4%29%2F15 = 9%2F15 = 3%2F5.


The probability that the second chosen person is not a Republican is %285%2B4-1%29%2F%2815-1%29 = 8%2F14 = 4%2F7.


Then the probability under the question is  the product  %283%2F5%29%2A%284%2F7%29 = 12%2F35.    ANSWER


Calculate and round as required.