Set A
F.3 Mathematics
Probability
Task 1
There are two boxes (Box I and Box II).
Box I contains 1 red ball (R), 1 yellow ball (Y), 1 green ball (G) and 1 blue ball (B).
Box II contains 1 red ball (R), 1 yellow ball (Y) and 1 green ball (G).
A ball is drawn at random from each box.
B
Y
R
G
Box I
R
Y
G
Box II
(a) (i) What is the number of possible outcomes?
(ii) List all the possible outcomes.
(b) Find the probability that
(i) the two balls drawn are of the same colour.
(ii) the two balls drawn are of the different colours.
(iii) one red ball and one green ball are drawn.
(iv) two blue balls are drawn.
Set B
F.3 Mathematics
Probability
Task 1
There are two boxes (Box I and Box II).
Box I contains 2 red ball (R), 1 yellow ball (Y) and 1 green ball (G).
Box II contains 1 red ball (R), 1 yellow ball (Y) and 1 green ball (G).
A ball is drawn at random from each box.
R
Y
R
G
Box I
R
Y
G
Box II
(a) (i) What is the number of possible outcomes?
(ii) List all the possible outcomes.
(b) Find the probability that
(i) the two balls drawn are of the same colour.
(ii) the two balls drawn are of the different colours.
(iii) one red ball and one green ball are drawn.
(iv) two blue balls are drawn.
Set A
Task 2
A box contains 1 red ball (R), 1 yellow ball (Y), 1 green ball (G) and 1 blue ball (B).
Two balls are drawn at random from the box.
(i.e. We draw one ball at random from the box and
don’t put it back.
Then, we draw one ball at random from the box again.)
B
Y
R
Without replacement
G
(a) (i) What is the number of possible outcomes?
(ii) List all the possible outcomes.
(b) Find the probability that
(i) the two balls drawn are of the same colour.
(ii) the two balls drawn are of the different colours.
(iii) one red ball and one green ball are drawn.
(iv) two blue balls are drawn.
Set B
Task 2
A box contains 1 red ball (R), 1 yellow ball (Y), 1 green ball (G) and 1 blue ball (B).
We draw one ball at random from the box and record the colour.
Then,
put it back to the box. We draw one ball at random from the box again
and record the colour.
B
Y
R
(a) (i)
With replacement
G
What is the number of possible outcomes (the colours of two balls drawn in different
time)?
(ii) List all the possible outcomes.
(b) Find the probability that
(i) the two balls drawn are of the same colour.
(ii) the two balls drawn are of the different colours.
(iii) one red ball and one green ball are drawn.
(iv) two blue balls are drawn.
Set A
Task 3
There are three boxes (Box I , Box II and Box III).
Box I contains 1 red ball (R) and 1 yellow ball (Y).
Box II contains 1 red ball (R) and 1 green ball (G).
Box III contains 1 yellow ball (Y) and 1 green ball (G).
A ball is drawn at random from each box.
R
Y
Box I
R
G
Box II
(a) (i) What is the number of possible outcomes?
(ii) List all the possible outcomes.
(b) Find the probability that
(i) the three balls drawn are of the same colour.
(ii) the three balls drawn are of the different colours.
(iii) exactly two of them are of the same colour.
Y
G
Box III
Set B
Task 3
There are three boxes (Box I , Box II and Box III).
Box I contains 1 red ball (R) and 1 yellow ball (Y).
Box II contains 1 red ball (R) and 1 green ball (G).
Box III contains 1 yellow ball (Y) and 1 green ball (G).
A ball is drawn at random from each box.
R
Y
Box I
R
G
Box II
(a) (i) What is the number of possible outcomes?
(ii) List all the possible outcomes.
(b) Find the probability that
(i) the three balls drawn are of the same colour.
(ii) the three balls drawn are of the different colours.
(iii) exactly two of them are of the same colour.
Y
G
Box III