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Chapter 7 : PROBABILITY
PAPER 1
1.
Colour
Black
Blue
Yellow
Number of cards
5
4
3
The table above shows the number of coloured cards in a box.
Two cards are drawn at random from the box. Find the probability that both the cards are of
the same colour.
[3 marks]
Answer : ..........................................
2.
A bag contains 6 blue marbles and k red marbles. If a marble is picked randomly from the
3
bag, the probability of getting a red marble is . Find the value of k.
5
[3 marks]
Answer : ..........................................
3.
The probability that Hamid qualifies for the final of a track event is
probability that Mohan qualifies is
2
while the
5
1
.
3
Find the probability that
(a) both of them qualify for the final,
(b) only one of them qualifies for the final.
[3 marks]
Answer : (a)........................................
(b)........................................
44
4.
2
6
5
4
12
15
The diagram above shows 6 pieces of numbered cards. If one card is chosen at random,
find the probability that the number chosen is
(a) a multiple of 3 and a factor of 24,
(b) a prime number or an even number.
[3 marks]
Answer : (a)......................................
(b).....................................
5.
Amin, Beng and Chandran are to take a written driving test. The probabilities that Amin,
1 1
1
Beng and Chandran fail the test are , and respectively. Find the probability that at
3 4
5
least one of them fails the test.
[3 marks]
Answer : ..........................................
6.
1
. If the bias dice
4
is rolled simultaneously with a fair dice, find the probability of obtaining 4 on only one of
the dice.
[3 marks]
The probability of obtaining the number 4 when a bias dice is rolled is
Answer : ..........................................
45
7.
A box contains 9 cards. Each card is written a letter from the word ‘GEOGRAPHY’. If
two cards are drawn at random, one after the other, without replacement, calculate the
probability that a letter ‘G’ and a vowel are drawn.
[3 marks]
Answer : ..........................................
8.
A bag contains x red marbles, y blue marbles and 5 yellow marbles. When a marble is
1
drawn at random, the probability of obtaining a yellow marble is . Write an equation to
2
show the relationship between x and y.
[2 marks]
Answer : ..........................................
9.
There are 8 girl guides, 4 boy scouts and 6 police cadets in a class. Find the probabitity that
a student chosen at random from the class is a boy scout.
[3 marks]
Answer : ..........................................
46
10.
I
N
S
P
I
R
A
T
I
O
N
Eleven cards as shown in the above diagram are put in a bag. A card is chosen randomly
from the bag. Calculate the probability that the chosen card has a letter ‘I’ or a vowel.
[3 marks]
Answer : ..........................................
11.
3 reference books and 6 novels are arranged on shelf A while 7 reference books and 5
novels are arranged on shelf B. If a book is chosen at random from each shelf, find the
probability that a reference book is chosen from shelf A and a novel is chosen from shelf B.
[3 marks]
Answer : ..........................................
12.
Bag A contains 4 cards numbered 3, 5, 6 and 7. Bag B contains 5 cards numbered 4, 5, 6, 7
and 8. A card is drawn at random from each bag. Find the probability that both cards have
(a) even numbers
(b) the same numbers
[4 marks]
Answer : (a)......................................
(b).....................................
47
13.
A bag contains 4 yellow balls and 6 red balls. A ball is drawn randomly from the bag, its
colour recorded and the ball is put back into the bag. Then a second ball is drawn randomly
from the bag . Find the probability that
(a) the two balls drawn are not of the same colour,
(b) at the most one of the balls is yellow.
[4 marks]
Answer : (a)......................................
(b).....................................
14.
Din and Edie compete against each other in a chess game. The first player who wins two
1
sets is the winner. The probability that Din wins in any set is . Calculate the probability
3
that Din wins the match after playing three sets.
[3 marks]
Answer : ..........................................
15.
At Halim’s shop, there are 5 refrigerators, P, Q, R, S and T and 4 washing machines, A, B,
C and D. If a refrigerator and a washing machine are chosen at random, calculate the
probability that refregerators P or Q and washing machine A are chosen.
[3 marks]
Answer : .........................................
48
Answers (PROBABILITY)
2.
19
66
9
3.
(a)
1.
(b)
4.
(a)
(b)
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
2
15
7
15
1
3
5
6
3
5
1
3
1
6
x y 5
2
9
5
11
5
36
3
(a)
20
3
(b)
20
12
(a)
25
21
(b)
25
4
27
1
10
49