Answer: Our required probability is 0.044.
Step-by-step explanation:
Since we have given that
Number of customers who have entered the drawing = 17
Number of customers live in the town of Gaston = 5
Number of customers live in Pike = 4
Number of customers live in Wells = 8
The first customer will be selected and then second customer will be selected from the remaining .
Probability of getting first customers are Pike residents = [tex]\dfrac{4}{17}[/tex]
Probability of getting second customers are Pike residents = [tex]\dfrac{3}{16}[/tex]
So, the probability that both customers selected are Pike residents are
[tex]\dfrac{4}{17}\times \dfrac{3}{16}\\\\=0.044[/tex]
Hence, our required probability is 0.044.