SOLUTION: Suppose that a family has five children, consisting of three girls and two boys. Call the girls Abigail, Brianna, and Courtney; call the boys Duane and Evan. Suppose further that t

Algebra ->  Probability-and-statistics -> SOLUTION: Suppose that a family has five children, consisting of three girls and two boys. Call the girls Abigail, Brianna, and Courtney; call the boys Duane and Evan. Suppose further that t      Log On


   

Question 926823: Suppose that a family has five children, consisting of three girls and two boys. Call the girls Abigail, Brianna, and Courtney; call the boys Duane and Evan. Suppose further that two of these children are to be selected at random.
5. If both boys are selected, would it be reasonable for the girls to cry foul and claim that the selection process must not have been random? Explain your answer, and refer to a relevant probability calculation
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
5 children: 3G, 2B
2 chosen ...
P(both boys are selected) = %282%2F5%29%281%2F4%29 = 2/20 = 1/10
..........
reasonable for the girls to cry foul and claim that the selection process must not have been random ?
Albeit unlikely, it is possible selection process was at random
( two boys could be randomly selected 1 out of 10 times)