Question

A community group sells 2,000 tickets for its raffle. The grand prize is a car. Neil and his 9 friends buy 10 tickets each. When the winning ticket number is announced, it is found to belong to Neil's group. Given this information, what is the probability that the ticket belongs to Neil?

Answer 1

Answer: 1/10

Step-by-step explanation:

Here, Total ticket = 2000

According to the question, ticket bought by Neil's group = 10 × 10= 100 ( because there are 10 person in group and each bought 10 tickets)

Therefore, Probability that Neil's group won the prize, P(G) = 100/2,000= 1/20

Now, The probability that Neil and group won,  $P( N\cap G)=\frac{10}{2000}$

Thus, the probability that Neil won when it is found that Neil's group won,

$P(N/G)= \frac{P( N\cap G)}{P(G)}$= $\frac{10/2000}{1/20}$= 1/10

Thus, P(N/G)= 1/10

Answer 2

The answer is 1/10 or 10%.

The solution is as follows:
The probability of Neil's group winning is 100/2000 or 1/20
The probability o Neil winning is 10/2000 or 1/200
The probability that Neil is the winner inside his group after being announced his group won is 10/100 or 1/10.

Thank you for posting your question. I hope you found what you were after. Please feel free to ask me more.