Answer: P(A or B) = 7/25
the probability that exactly one photo detector of a pair is acceptable is 7/25
Step-by-step explanation:
Given:
The probability that the first photo detector is acceptable P(A)= 3/5
The Probability that the first photo detector is defective P(A') = 1 - P(A) = 1 - 3/5 = 2/5
The probability that the second photo detector is acceptable given that the first one is defective P(B|A')= 2/5
The probability that the second photo detector is defective given that the first one is acceptable P(B'|A) = 1 - 4/5 = 1/5
The probability that exactly one photo detector of a pair is acceptable is given as:
P(A/B) = P(A)P(B'|A) + P(A')P(B|A')
P(A/B) = 3/5 × 1/5 + 2/5 × 2/5
P(A/B) = 7/25
