Question

50 POINTS Mathematics

Answer 1

Explanation:

a) P(A or B) = P(A) x P(B)

P(A) x P(B) = 0.11 x 0.83 = 0.0913

b) P(A or B) = P(A) + P(B)

0.11 + 0.83 = 0.94

Answer 2

(a) 0.8487

(b) 0.94

Explanation:

Given:

• P(A) = 0.11
• P(B) = 0.83

(a) P(A or B) = P(A) + P(B) - P(P and B)

For independent events, P(P and B) = P(A)P(B)

⇒ P(A or B) = P(A) + P(B) - P(A)P(B)

= 0.11 + 0.83 - (0.11 · 0.83)

= 0.94 - 0.0913

= 0.8487

(b) P(A or B) = P(A) + P(B) = 0.11 + 0.83 = 0.94