A shop repairs both audio and video components. Let A denote the event that the next component brought in for repair is an audio component. Event B is the event that the next component is a CD player (so event B is contained in A). Suppose that P (A) = 0.6 and P (B) = 0.05. What is P (B|A) ?

Question

Mathematics

Kennedi Grimes

3 July, 23:01

A shop repairs both audio and video components. Let A denote the event that the next component brought in for repair is an audio component. Event B is the event that the next component is a CD player (so event B is contained in A). Suppose that P (A) = 0.6 and P (B) = 0.05. What is P (B|A) ?

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Answers (1)

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Kiara Pearson · Answer 1

Answer: 0.6

Step-by-step explanation:

The probability formula to find p (B/A) is:

P (B/A) = p (A n B) / p (B)

Which means that A is contain in B and p (A n B) is p (A)

p (A n B) = p (A) = 0.6 * 0.05 = 0.03

p (B) = 0.05

Therefore

P (B/A) = p (A n B) / p (B) = p (A) / p (B)

P (B/A) = 0.03 / 0.05

P (B/A) = 0.6