A proportion p of a large population is allergic to peanuts. From this population, a random sample of m people is selected and they all eat a food containing peanuts. At least one of the m people has a subsequent allergic reaction. What is the probability that exactly two of the m people had an allergic reaction?"
1
\([m_{C_2} \times p^2 \times (1-p)^{m-2}] / (1-(1-p)^m)\)
2
\( [m_{C_2} \times p^2 \times (1-p)^{m-2}] / (1-(1-p)^{m-1})\)
3
\(m \times p \times (1-p) / (1-(1-p)^m)\)
4
\(m \times p \times (1-p) / (1-(1-p)^{m-1})\)