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Past exam of the mathematics course of the University of Cambridge
/
2025
/
ib
/
Paper 1
/
19H
/
d
/
Solution
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Past exam of the mathematics course of the University of Cambridge
2025
ib
Paper 1
19H
d
Created
2026-09-24
Updated
2026-10-03
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Let
g
i
=
E
i
[
T
A
1
{
T
A
<
T
F
}
]
for the chain absorbed at
A
or
F
. With
g
C
=
g
D
=
y
,
First-step analysis
gives
g
B
=
(
2
+
2
y
)
/3
,
g
E
=
(
1
+
2
y
)
/3
,
y
=
(
1
+
g
B
+
g
E
)
/2.
(1)
Thus
y
=
3
and
g
B
=
8/3
. Including the initial step from
A
, the conditional
mean
is
1
+
h
B
g
B
=
1
+
2/3
8/3
=
5.
(2)
Ancestors
(11)
d
19H
Paper 1
ib
2025
Past exam of the mathematics course of the University of Cambridge
Mathematics course of the University of Cambridge
Course of the University of Cambridge
University of Cambridge
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