your barangay officials are planning to raise funds to help the public library.they decided to sell 4000.00 draw tickets worth 10 each. one ticket will win the prize worth 3,500.00. five tickets will each win a prize worth 700.00 each and three tickets will each win the prize worth 1,200.00.determine the expected value of each ticket.

To determine the expected value of each ticket, we need to calculate the probability of winning each prize and multiply it by the value of that prize. Then we need to sum up these values for all the possible outcomes.

Let's calculate the expected value step by step:

1. Calculate the probability of winning the first prize worth 3,500.00. There is only one winning ticket out of the total 4,000 tickets, so the probability is 1/4,000.

Expected value of winning the first prize = (Probability of winning the first prize) * (Value of the first prize)
= (1/4,000) * 3,500.00

2. Calculate the probability of winning one of the five prizes worth 700.00 each. There are five winning tickets out of the total 4,000 tickets, so the probability is 5/4,000.

Expected value of winning one of the five second prizes = (Probability of winning a second prize) * (Value of a second prize)
= (5/4,000) * 700.00

3. Calculate the probability of winning one of the three prizes worth 1,200.00 each. There are three winning tickets out of the total 4,000 tickets, so the probability is 3/4,000.

Expected value of winning one of the three third prizes = (Probability of winning a third prize) * (Value of a third prize)
= (3/4,000) * 1,200.00

4. Now, sum up the expected values of all the prizes:

Expected value of each ticket = Expected value of winning the first prize + Expected value of winning a second prize + Expected value of winning a third prize
= (1/4,000) * 3,500.00 + (5/4,000) * 700.00 + (3/4,000) * 1,200.00

You can simplify this expression and calculate the expected value of each ticket.