A lottery offers five prizes, each of 100 baht, and a total of 2000 lottery tickets are sold. You buy a single ticket for 20 satang. (1 baht = 100 satang) (i) What is the probability that you will win a prize?

(Give your answer in the simplest form a/b.)

(ii) What is the probability that you will not win a prize?

(Give your answer in the simplest form a/b.)

(iii) How much money do the lottery organizers expect to make or lose?

If all tickets are sold, the lottery organizers will lose baht.

(iv) How much money should the lottery organizers charge for a single ticket in order to break even?

satang.

(v) If they continue to charge 20 satang per ticket, how many tickets would they need to sell in order to break even?

lottery tickets.

(i) Two players, A and B, play tennis. On the basis of their previous results, the probability of A winning, P(A), is calculated to be 0.65. What is P(B), the probability of B winning?

(Answer to two decimal places.)

(ii) In a tennis tournament, player A, the favorite, is estimated to have a 0.3 chance of winning the competition. Player B is estimated to have a 0.15 chance. Find the probability that either A or B will win the competition.

(Answer to two decimal places.)

(iii) In the Six Nations Football Championship, France and England are each given a 25% chance of winning or sharing the championship cup. It is also estimated that there is a 5% chance that they will share the cup. Estimate the probability that either England or France will win or share the cup.

(Answer to two decimal places.)