A raffle offers a first prize of​ $1000, 2 second prizes of​ $300, and 20 third prizes of​ $10 each. If 15000 tickets are sold at 50cents ​each, find the expected winnings for a person buying 1 ticket.

In provincial park, 200 foxes are tagged. In 100 sighting, 14 were tagged . Estimate the size of the fox population.

To find the expected winnings for a person buying 1 ticket, we need to calculate the probability of winning each prize and multiply it by the amount of money won for each prize.

First, let's calculate the total amount of money collected from selling the tickets:
Total money collected = Number of tickets * Price per ticket
Total money collected = 15,000 tickets * $0.50
Total money collected = $7,500

Now, let's calculate the probability of winning each prize:
Probability of winning first prize = 1 / Total number of tickets
Probability of winning first prize = 1 / 15,000

Probability of winning a second prize = Number of second prizes / Total number of tickets
Probability of winning a second prize = 2 / 15,000

Probability of winning a third prize = Number of third prizes / Total number of tickets
Probability of winning a third prize = 20 / 15,000

Next, let's calculate the expected winnings for each prize:
Expected winnings for first prize = Probability of winning first prize * Amount won for first prize
Expected winnings for first prize = (1 / 15,000) * $1,000

Expected winnings for a second prize = Probability of winning a second prize * Amount won for a second prize
Expected winnings for a second prize = (2 / 15,000) * $300

Expected winnings for a third prize = Probability of winning a third prize * Amount won for a third prize
Expected winnings for a third prize = (20 / 15,000) * $10

Now, let's calculate the total expected winnings:
Total expected winnings = Expected winnings for first prize + Expected winnings for second prizes + Expected winnings for third prizes
Total expected winnings = [(1 / 15,000) * $1,000] + [(2 / 15,000) * $300] + [(20 / 15,000) * $10]

By evaluating this expression, you'll find the expected winnings for a person buying 1 ticket in the raffle.

1/15000 (1000 + 2*300 + 20*10) = 3/25

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