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PROBABILITY (Chapter 10) 239 7 A person plays a game with a pair of coins. If a double head appears, $10 is won. If a head and a tail appear, $3 is won. If a double tail appears, $5 is lost. a How much would a person expect to win playing this game once? b If the organiser of the game is allowed to make an average of $1 per game, how much should be charged to play the game once? 8 A single coin is tossed once. If a head appears you win $2 and if a tail appears you lose $1. How much would you expect to win from playing this game three times? INVESTIGATION 2 ROULETTE Click on the icon to obtain a printable worksheet on the expected returns from playing the game of roulette. PRINTABLE WORKSHEET REVIEW SET 10A 1 Ninety three people arriving at the beach are asked their age. The results are shown opposite. Assuming they give correct replies, what is the probability that a randomly selected person on the beach will be aged: a 30 or more b between 10 and 30? Age 0-9 10 - 19 20 - 29 30 - 39 40+ Frequency 17 25 26 20 5 2 A netball goalshooter has probability 34 of scoring a goal each time she shoots. If she has 52 shots at goal, how many goals would you expect her to score? 3 What is meant by saying that two events are independent ? 4 A coin is tossed and a die is rolled simultaneously. a Illustrate the sample space on a grid. b Find the probability of getting: i a head and an even number ii a head and a non-3 iii a 5 or a 6 iv a head or an even number. 5 Three coins are tossed simultaneously. a Using H for a head and T for a tail, list the possible results which could occur. b Find the probability of getting: i two heads and a tail ii at least one head. cyan magenta 95 yellow Y:\HAESE\IB_MYP4\IB_MYP4_10\239IB_MYP4_10.CDR Tuesday, 18 March 2008 1:37:42 PM PETERDELL 100 50 75 25 0 5 95 100 50 75 25 0 5 d only Peter hits the green. 95 c at least one hits the green 100 b neither hits the green 50 a both hit the green 75 25 0 5 95 100 50 75 25 0 5 6 In a golf match, Peter has a 70% chance of hitting the green when using a nine iron. Paula has a 90% chance when using the same club. If, at a particular hole, they both elect to use a nine iron to play to the green, determine the probability that: black IB MYP_4