The Algiers High School booster club is planning a fundraiser to collect money for a new synthetic turf field and stadium lights. The boosterswill completely cover the football field with playing cards (2.5 inches x3.5 inches) face down. All the cards are aligned in the same directionas the football field (long side of the card along the long side of the field). There will be exactly one joker card placed at random among thecards on the field. The football field is 100 yards x53 yards.Contestants pay five dollars for every card they wish to turn over. Whoever finds the joker wins one million dollars.a. What is the probability that the first player finds the joker by turning over one card?FIND the JOKERHint (b):c. What is the maximum amount of money the boosters can make?Win One MILLION DOLLARSOHint (a):b. The playing cards used to cover the field cost $0.99 per pack (52 cards per pack). What is the largest amount of money the boosters can lose in thisfundraiser?Hint (c):d. What is a reasonable expected profit for the booster club? That is, if this fundraiser were done many, many times, what would be the average profit?Hint (d):e. A state Mucho Millions lottery advertises odds of 176 million to one. If the state lottery were played like the booster club fundraiser, how many football fieldscovered with non-joker playing cards would be needed?Hint (e):