Maths Quest A Year 11 for QueenslandChapter 12 Introduction to probability WorkSHEET 12.11

WorkSHEET 12.1Introduction to probability

Name: ______

Maths Quest A Year 11 for QueenslandChapter 12 Introduction to probability WorkSHEET 12.11

1 / For each of the following events, state whether it is certain, probable, fair chance, unlikely or impossible.
(a)Winter will occur in January in Australia.
(b)Christmas Day will be on 25 December.
(c)You will have a sick day at some stage during the rest of this year.
(d)When a die is rolled the number will be odd.
(e)A cyclone will hit Melbourne next November.
2 / Order the following events from ‘least likely’ to ‘most likely’ to occur.
  • Rolling an even number on a six-sided die
  • A male student being randomly selected from a class at an ‘all boy’ school
  • Your teacher cancelling a science test
  • Someone choosing a number between 1 and 10 that is greater than 3
  • A horse with two heads winning the Melbourne Cup

3 / Write down the sample space for the following events as an ordered list.
(a)Selecting a number from between 1
and 20
(b)Choosing a fruit from apple, banana, pear, mango, grape or peach
(c)Selecting a month of the year
(d)Choosing a car from Ford, Holden, Toyota
4 / State how many possible results there are for the following experiments.
(a)Selecting a month of the year
(b)Rolling a 20-sided die
(c)Choosing a season of the year
(d)Choosing a drink from the choice of cola, lemonade, lemon, raspberry, orange and lime
(e)Choosing one student from a class of 26 students
(f)Spinning a spinner with seven equal-sized sections
5 / List all the possible results for the following experiments and then state whether all results in each experiment are equally likely.
(a)Rolling a fair six-sided die
(b)Spinning a spinner where one-half is red, one-third green and one-sixth white
(c)Choosing a letter of the alphabet
(d)Selecting a marble from a bag which contains 3 white, 3 red and 4 yellow marbles
(e)Drawing a raffle ticket from a box containing 58 green tickets, 132 white tickets and 64 blue tickets
6 / A fair 12-sided die is rolled.
(a)List all of the possible outcomes.
(b)List all of the even-numbered outcomes.
7 / Draw a tree diagram depicting the outcomes of tossing a coin three times.
8 / Use the tree diagram in question 7 to determine:
(a)the number of elements in the sample space
(b)the number of elements of the sample space containing at least two heads.
9 / A breakfast menu has a choice of three types of cereals, two types of hot meals and three choices of drinks.
In how many different ways can the three courses be chosen?
10 / Consideration was given to issuing car
number-plates with either:
(a)four digits or
(b)four letters.
A decision was made to use four letters using the reasoning that a greater number of
number-plates could be issued using this system.
How many more number-plates could be issued using four letters rather than four digits?