Mini exam #5

Answer = 4/7 ( and I understand the solution )

Want to know what is wrong in my process:

BB: Barbara and Betsy

Total: 6 ( non - BB ) + 2 (BB)

total combination possible: 8C4 = 70

total combination including both BB : 2C2 * 6C2 = 15 ( These are combinations including both BB )

total combination with atleast one of BB : 70 -15 = 55

Required probability = 55 / 70

please help

The issue is that you calculated the probability of “at least one” friend being selected, but the question is concerned with the probability of “only one” friend being selected.