Advanced level 2025 North West Regional Mock mathematics statistics 3 guide
Advanced level 2025 North West Regional Mock mathematics statistics 3 guide
NORTH WEST REGIONAL MOCK 2025
MATHEMATICS WITH STATISTICS 0770. Paper 3 MARK GUIDE
1. π(π΄) = 5
12
, π(π΄ β© π΅) = 1
6
, π΄ and π΅ are independent,
a) π(π΅) = π(π΄β©π΅)
π(π΄) =
1 6
Γ
12
5
M1
π(π΅) = 2
5
A1
b)π(π΄ βͺ π΅) = π(π΄) + π(π΅) – π(π΄)π(π΅)
=
5
12
+ 2
5
–
1 6
M1 M1
=
13
20 π¨π
c) π(π΄βπ΅)= π(π΄β©π΅)
π(π΅) =
π(π΄)π(π΅)
π(π΅) M1
= π(π΄) = 1
6
A1
d)π(π πππ πππππ) = π(π
π
) + π(π΅π΅) + π(πΊπΊ)
= (20 40) (19 39) + (15 40) (14 39) + (40 5 ) (39 4 ) M1
=
61
156
M1 A1
e) π(ππ‘ ππππ π‘ πππ πππ πππ)
= π(π
π
) + 2π(π
π΅) + 2π(π
πΊ)
= (20 40) (19 39) + 2 (20 40) (15 39) + 2 (20 40) (39 5 ) M1
= (1560 380 ) + (1560 600 ) + (1560 200 )
= (78 59) M1 A1
2. a) ππ’ππππ π‘ππ π‘ππ πππππ‘ππ£π = 715 – 100 = 615
A1
b) πππππ πππ ππππ’π 21 – 25 A1
