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44 questions at your level
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Level 1
Level 2
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Level 5
Tree diagrams & independent events
17 questions
Lesson
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Each time Ravi plays a game on his phone, the probability that he wins is
0.4
0.4
0.4
.
Ravi plays the game twice. The results of the two games are independent.
(a)
Work out the probability that Ravi wins both games.
(b)
Work out the probability that Ravi loses both games.
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Level 2
4 marks
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Two events
A
A
A
and
B
B
B
are independent.
P
(
A
)
=
0.3
P(A) = 0.3
P
(
A
)
=
0.3
and
P
(
B
)
=
0.6
P(B) = 0.6
P
(
B
)
=
0.6
.
(a)
Work out the probability that both
A
A
A
and
B
B
B
happen. [1]
(b)
Work out the probability that neither
A
A
A
nor
B
B
B
happens. [2]
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Level 2
3 marks
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Probability without replacement
17 questions
Lesson
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Mark as done
A bag contains 4 mint sweets and 6 toffee sweets.
Priya takes a sweet at random and eats it. She then takes a second sweet at random.
(a)
Work out the probability that both sweets are mint.
(b)
Work out the probability that both sweets are toffee.
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Level 2
4 marks
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A bag has
5
5
5
sweets:
2
2
2
orange and
3
3
3
lemon. Two sweets are taken without replacement. Work out the probability that both are lemon.
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Level 2
2 marks
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Conditional probability
10 questions
Lesson
Not started
Mark as done
The two-way table shows information about the
80
80
80
members of a swimming club.
Under 16
16 or over
Total
Male
18
18
18
22
22
22
40
40
40
Female
27
27
27
13
13
13
40
40
40
Total
45
45
45
35
35
35
80
80
80
(a)
One of the members aged under 16 is chosen at random.
Work out the probability that this member is female.
(b)
One of the female members is chosen at random.
Work out the probability that this member is aged under 16.
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Level 2
4 marks
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