Respuesta :
Answer:
The probability that one junior and one senior are chosen for the two positions is 0.556.
Step-by-step explanation:
The information provided is as follows:
- Five juniors and four seniors have applied for two open student council positions.
- School administrators have decided to pick the two new members randomly.
There are a total of 9 students who applied for the two open student council positions.
The total number of ways to select two students from 9 is: [tex]{9\choose 2}=\frac{9!}{(9-2)!}=36[/tex]
Compute the probability that one junior and one senior are chosen for the two positions as follows:
[tex]P(\text{1 Junior and 1 Senior})=\frac{5\times 4}{36}=0.556[/tex]
Thus, the probability that one junior and one senior are chosen for the two positions is 0.556.
