Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
$500 1 At the Super Roulette Game, Alison has to spin the wheel to find out how much money she could win. Calculate the probability of winning $250? $250 $1000 2 Paula, Louise and Genevieve organized a drawing. Each of the 3 prizes to be drawn was a ticket for a concert. The 8 people invited to the party each took a turn to draw from the bag containing the tickets. The bag held 5 blank tickets and 3 real tickets. No ticket drawn was put back into the bag. 1st draw : Cecile picked a blank ticket. 2nd draw : Laura picked a real ticket. 3rd draw : Matt picked a blank ticket. 4th draw : Susan picked a blank ticket. 5th draw : Genevieve picked ... $250 $250 $500 What is the probability that Genevieve will pick a real ticket for the concert? 3 Amir (A), Brian (B), Camille (C) and Daria (D) have been selected to represent Quebec at a national public-speaking competition. The students' names will be selected randomly to determine the order in which they will give their speeches. In how many of the possible outcomes does Brian appear first? 4 Emma tosses a coin and then chooses a marble from a bag containing 5 blue marbles, 3 red marbles and 2 green marbles. What is the probability that Emma will obtain a head on the toss and will draw a red marble? 5 A certain company employs 55 men and 35 women. For Christmas the owner randomly draws the names of 10 employees and gives each of them a turkey. Each employee is entitled to only one prize. a) What is the probability that a woman will win the first turkey? b) What is the probability of a man winning the 2 nd turkey if a woman won the first? c) What is the probability that a man will win the 10 th turkey, if 5 men and 4 women had won the first nine prizes? 6 A jar contains 3 black candies, 2 green, 2 red, 4 yellow and 1 blue. The candies are all the same shape and size. Lisa draws 2 candies in succession without putting the first one back into the jar. What is the probability that she draws a black candy followed by a green one? 7 There are two black marbles and four white marbles in a box. Paolo drew one marble at random without replacing it. He then drew a second marble. What is the probability that the two marbles that he drew were both black? 8 Benjamin, Stephen and Joan are standing in front of a gum-dispensing machine. All the gumballs in the machine are the same shape and the same size. There are 14 cherry gumballs, 7 orange, 6 grape and 9 lemon. Benjamin inserted money for 2 gumballs and the machine dispensed one lemon gumball and one orange. Stephen who also bought 2 gumballs, received two cherryflavoured ones. Joan is going to buy one gumball and she would like a cherry-flavoured one too. What is the probability that she will get her wish? 9 A game contains many different playing pieces. The pieces come in three sizes: large, medium, small; three colours: red, green, black; and three shapes: triangle, square, circle. There is only one piece of each type. For example, there is only one large black triangle. Two red pieces are missing from the game. If one piece is chosen at random, what is the probability of it being green? 10 On a new television game show, spectators are given a chance to spin the two wheels shown below. Participants spin the first wheel to determine their starting jackpot. The second wheel is then given a spin to determine by which factor their starting jackpot is to be multiplied. If a person spins each wheel once and only once, what is the probability of winning exactly $40 000? 11 Marco’s mother asked him to wash the dishes, but he doesn’t want to. She suggested the following game. I’m holding 4 Aces and 2 Jokers from a pack of playing cards. You choose 2 cards at random. If you get a pair of Aces, you don’t have to wash the dishes. If Marco plays this game, what is the probability that he will have to wash the dishes? 12 Tom randomly places the numbers 8, 10 and 18 into the three empty boxes in the equation on the right. He uses a number only once in each equation. What is the probability that the equation will be TRUE? 13 A meteorologist announces that the probability that it will rain tomorrow is 3 + = . What are the odds that it will not rain 5 tomorrow? 14 A sports writer estimates that the odds in favour of a certain baseball team winning the championship are 10 : 1. Joe decides to bet $50 that the team will lose the championship. How much will Joe win if the team loses? 15 A bag contains three $5 bills, two $10 bills and four $20 bills. One bill is drawn at random from the bag. What are the odds of drawing a $10 bill? 16 For each game of chance played during a fundraising activity, the event organizer provided the information given below. Game 1: The probability of winning is 8 . Game 2: The probability of losing is 11 Game 3: The odds for are 7 to 4. 6 11 Game 4: The odds against are 5 to 6. Which of these games offers the greatest probability of winning? .