IB Mathematics SL 1.2 Arithmetic sequences and series AI HL Paper 1- Exam Style Questions- New Syllabus
▶️ Answer/Explanation
Detailed solution
(a)
Sum of 10 white sector angles using \(S_n = \frac{n}{2}(2u_1 + (n-1)d)\):
\(S_{10} = \frac{10}{2}(2(6) + 9(3)) = 5(12 + 27) = 5(39) = 195^{\circ}\).
Probability \(p = \frac{195}{360}\) (or 0.542).
(b)
Using Binomial distribution \(X \sim B(4, \frac{195}{360})\).
We need \(P(X \ge 3) = P(X=3) + P(X=4)\).
Using GDC (Binomial CD or PDF sum):
Probability = 0.377