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11 Maths A 1 Homework sheet Probability Rank the following events on a scale from least likely (probability close to 0) to most likely (probability close to 1). (a) (b) (c) (d) (e) (f) The sun will rise tomorrow. Your favourite football team will win the Grand Final. A pig will fly. It will rain tomorrow. It will rain 40 days in a row. The answer to a question in your textbook is printed correctly. 2 A bag contains 5 red cards, 5 yellow cards and 1 black card. Two cards are drawn at random. List the sample space for this experiment. 3 A six-sided die is tossed and two coins are tossed. List the sample space for this experiment. 4 Which of the following events are equally likely: (a) a coin landing heads or tails? (b) a football team winning or losing the Grand Final? (c) selecting a picture card or a spot number card from a standard deck? Name: ______________________ 5 Give an example of an event that has a probability of: (a) 0 1 (b) 2 (c) 1. 6 A cereal manufacturer offers up to 3 prizes in each packet of cereal. Each day, the number of boxes with the various prizes is determined by the following table: Number of prizes 0 1 2 3 Number of boxes 400 600 150 25 Find the probability that a box contains 1 prize. 7 Using the data from question 6, determine the probability of obtaining more than 1 prize. 8 A card is drawn from a standard deck. Find the probability of each of the following: (a) selecting an ace (b) selecting a spade (c) selecting the ace of spades. (d) selecting a black ace (e) selecting a black picture card. 9 The heights (in cm) of a class of Year 9 students is recorded in the following table. Height 150 152 154 156 158 160 162 Number 2 3 5 4 3 0 1 Find the probability that a student is between 153 and 159 cm tall. 10 11 In the Emiri-Lotto draw there are 45 numbered balls. Find the probability that the first number drawn is: (a) a 1 (b) a 45 (c) even (d) odd (e) greater than 40. A bag contains 3 white balls, 4 red balls, 5 black balls, 6 green balls and 7 yellow balls. A single ball is drawn from the bag. What is the probability that it is neither white or black?