Problem: For the pair raffle every participant gets a random ticket. A winning number is chosen, also at random. The problem is to determine if any pair of tickets add up to the winning number.Example Instances: The tickets [108, 442, 913, 5] are drawn and a winning number of 500 is drawn. This instance does not have a winning pair because no two numbers add up to 500.The tickets [250, 20, 4] are drawn and a winning number of 254 is drawn. This instance does have a winning pair, 250 and 4.How Many Checks: Fill in the table below with how many checks are necessary with different numbers of tickets. It may help to draw pictures and see if you start noticing any patterns emerge.

There are 10 people taking part in a raffle.Ann, Bob, Elsa, Hans, Jim, Kira, Lena, Omar, Ravi, and Soo.Suppose that prize winners are randomly selected from the 10 people.Compute the probability of each of the following events.Event A: Ravi is the first prize winner, Kira is second, and Lena is third.Event B: The first three prize winners are Ann, Elsa, and Lena, regardless of order.Write your answers as fractions in simplest form.

There are 7 people taking part in a raffle.Ann, Elsa, Hans, Jim, Lena, Omar, and Soo.Suppose that prize winners are randomly selected from the 7 people.Compute the probability of each of the following events.Event A: Elsa is the first prize winner, Soo is second, Ann is third, and Lena is fourth.Event B: The first four prize winners are Soo, Jim, Elsa, and Lena, regardless of order.Write your answers as fractions in simplest form.

The organisers of an essay competition decide that a winner in thecompetition gets a prize of ` 100 and a participant who does not win getsa prize of ` 25. The total prize money distributed is ` 3,000. Find thenumber of winners, if the total number of participants is 63.

There are 7 people taking part in a raffle.Elsa, Hans, Jim, Kira, Omar, Ravi, and Soo.Suppose that prize winners are randomly selected from the 7 people.Compute the probability of each of the following events.Event A: The first three prize winners are Kira, Ravi, and Soo, regardless of order.Event B: Ravi is the first prize winner, Soo is second, and Elsa is third.Write your answers as fractions in simplest form.PA = PB =

Out of 1,578 people who entered a contest, only one person will be the winner. Each participant was assigned a ticket with a 4-digit number from 0001 to 1578. They chose the winner using the table of random digits, starting on line 1. Which contestant won the prize?Table of Random DigitsLine 1 34492     21130     97453     82147     21493     11307     58395Line 2 08632     27890     92342     82240     90329     09804     21991Line 3 10726     40462     57140     83205     48230     52367     16311Line 4 56488     37239     13527     66103     70131     12788     62207Line 5 29511     19612     20264     99971     09974     50524     49667 contestant 1130contestant 0758contestant 2147contestant 1309NEXT QUESTION