Chapter 5 Probability
1 A fair dice has 3 red faces, 2 blue faces and 1
green face. The dice is thrown once.
Write down the probability that the dice will
2 Michelle has a bag of 10 counters. 3 of the
counters are black, 2 are white and the
others are yellow. Michelle chooses a
counter at random from the bag. Find the
probability that Michelle will choose
a a black counter,
b a white counter,
a yellow counter.
3 Jo chooses a letter at random from the
letters in the word MISSISSIPPI.
Find the probability that she will choose
a a letter S,
b a consonant.
4 Uzma has 12 earrings in a jewellery box.
8 earrings are gold and the rest are silver.
Uzma chooses an earring at random from
the jewellery box. What is the probability
that this earring is
5 Dan has 6 cards numbered 2, 4, 5, 8, 9 and 10.
Dan chooses one of the cards at random.
What is the probability that the card will show
a an odd number,
b an odd number less than 5,
an even number,
d a factor of 10,
e an even number bigger than 5,
a factor of 12?
1 A 3-sided spinner, with sides numbered 1, 2
and 3, is spun and a dice is rolled at the
same time. Draw the sample space showing
all possible outcomes.
2 There are three beads in a bag. One bead is
red, one bead is white and one bead is
yellow. There are also three beads in a box.
One bead is green, one bead is pink and one
bead is blue. Without looking, Saskia takes,
at random, one bead from the bag and one
bead from the box. One possible outcome
for the colours of the two beads taken is
(red, green). List all the possible outcomes.
(1388 March 2006)
3 A fair blue dice and a fair red dice are
thrown at the same time.
a Find the probability that the sum of the
numbers on the two dice will be
i equal to 7
ii an even number
b Find the probability that the number on
the blue dice will be greater than the
number on the red dice.
4 Zeb has three cards, each with one letter, Z,
E, B on. He picks a card at random, notes the