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50 POINTS Mathematics

50 POINTS Mathematics class=

Sagot :

Answer:

Step-by-step 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:

(a) 0.8487

(b) 0.94

Step-by-step 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

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