Download Week 2 Homework Probability File

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?