Let's solve the problem step-by-step.
1. Total Tickets Sold: The community group has sold a total of 2,000 raffle tickets.
2. Neil's Group: Neil and his 9 friends form a group, making a total of 10 people (Neil plus 9 friends).
3. Tickets Purchased by Each Person in the Group: Each person in Neil's group buys 10 tickets. Since there are 10 people in the group, we multiply:
[tex]\[
10 \text{ (people)} \times 10 \text{ (tickets per person)} = 100 \text{ tickets for the group}
\][/tex]
4. Tickets Bought by Neil: Neil himself bought 10 tickets.
5. Probability Calculation: Given that the winning ticket belongs to Neil's group, we need to find the probability that the winning ticket belongs to Neil.
The probability can be found by dividing the number of tickets Neil bought by the total number of tickets bought by his group. Neil bought 10 tickets and his group bought 100 tickets overall:
[tex]\[
\text{Probability that the ticket belongs to Neil} = \frac{\text{Number of tickets Neil bought}}{\text{Total number of tickets in Neil's group}} = \frac{10}{100} = 0.1
\][/tex]
6. Converting Probability to Fraction:
[tex]\[
0.1 = \frac{1}{10}
\][/tex]
Thus, the correct probability that the ticket belongs to Neil is [tex]\(\frac{1}{10}\)[/tex].
So, the correct answer is:
[tex]\[
\boxed{\frac{1}{10}}
\][/tex]
