Mathematics · Oct / Nov 2025 · Paper 61 · Question 8
YMA01
As printed in the paper
The question as text
8. When Paul goes to work, he travels by car or by bicycle or he walks. the probability that he travels by car is 1 • 2 the probability that he travels by bicycle is 1 • 6 the probability that he walks is 1 • 3 Given that Paul travels by car, the probability that he is late is 1 • 5 travels by bicycle, the probability that he is late is 1 • 10 walks, the probability that he is late is 1 • 20
Read automatically from the paper; the printed page above is exact.
Show the answer and mark scheme
8(a)[1]
×
+
×
+
×
=
2
5
6
10
3
20
15
1
1
1
1
1
1
1
×
×
+
×
3
3
2
5
10
6
10
3
20
=
=
or
8(b)[2]
*
1
−
=
*
2
2
4
2
4
15
15
15
8(c)[4]
Notes
for a correct expression which is the sum of three products of
probabilities leading to the given answer
(a)
B1*
allow 1
1
1
2
+
+
=
10
60
60
15
for 1
1
1
×
=
(do not award if embedded in an incorrect
2
5
10
(b)
M1
calculation) or use of 1 – …. with 1
1
1
1
×
+
×
6
10
3
20
A1*
for a fully correct expression leading to the given answer
(c)
B1
for 13
15 oe in the correct place on the tree diagram
for 1
8 oe and 1
8 oe in the correct place on the tree diagram
B1
4
1
1
9
1
19
×
×
×
6
9
19
5
2
6
10
3
20
for
=
oe or
=
oe or
=
13
13
13
13
52
52
M1
15
15
15
implied by 1 correct probability in the correct place on tree
diagram
for 6
13 oe and 9
52 oe and 19
52 oe in the correct place on tree
A1
diagram
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