Answer:
[tex]P =\frac{1}{12}[/tex]
Step-by-step explanation:
The probability is defined as the number of ways to obtain the desired result among the number of possible outcomes.
The number of possible ways to select 3 hatfields from a group of 5 hatfields is:
[tex]3C5 =\frac{5!}{3!(5-3)!} =10[/tex]
The number of ways to select 3 people from a group of 10 is:
[tex]10C3 =\frac{10!}{3!(10-3)!} =120[/tex]
Then the probability is:
[tex]P =\frac{10}{120}[/tex]
[tex]P =\frac{1}{12}[/tex]
