Chapter 11 Probability Worksheet Page 28
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PROBABILITY (Chapter 11)
b Use a tree diagram to illustrate the sample spaces for the following:
i Bags A, B and C contain green or yellow tickets. A bag is selected and
then a ticket taken from it.
ii Martina and Justine play tennis. The first to win three sets wins the match.
3 When a box of drawing pins was dropped onto the floor,
it was observed that 49 pins landed on their backs and 32
landed on their sides. Estimate, to 2 decimal places, the
back
side
probability of a drawing pin landing:
a on its back
b on its side.
4 The letters A, B, C, D, ... N are put in a hat.
a Determine the probability of drawing a vowel (A, E, I, O or U) if one of the
letters is chosen at random.
b If two letters are drawn without replacement,
1st draw
2nd draw
copy and complete the following tree diagram
vowel
including all probabilities:
vowel
consonant
c Use your tree diagram to determine the
vowel
probability of drawing:
consonant
consonant
i a vowel and a consonant
ii at least one vowel.
9
5
A farmer fences his rectangular property into
rectangular
paddocks as shown alongside.
If a paddock is selected at random, what is the probability
that it has:
a no fences on the boundary of the property
b one fence on the boundary of the property
c two fences on the boundary of the property?
7
0
6 If P(A) =
, find P(A
) .
12
7 Bag X contains 3 black and 2 red marbles. Bag Y contains 4 black and 1 red marble.
A bag is selected at random and then two marbles are selected without replacement.
Determine the probability that:
a both marbles are red
b two black marbles are picked from Bag Y.
8 Two dice are rolled simultaneously. Illustrate this information on a 2-dimensional
grid. Determine the probability of getting:
a a double 5
b at least one 4
c a sum greater than 9
d a sum of 7 or 11:
9 A class consists of 25 students. 15 have blue eyes, 9 have fair hair, and 3
have both
blue eyes and fair hair. Represent this information on a Venn diagram.
Hence find the probability that a randomly selected student from the class:
a has neither blue eyes nor fair hair
b has blue eyes, but not fair hair
c has fair hair given that he or she has blue eyes
d does not have fair hair given that he or she does not have blue eyes.
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