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Answer: 0.40
## Explanation Given: - P(A) = Probability of reading Business News = 0.50 - P(B) = Probability of reading BloomField News = 0.40 - P(A ∩ B) = Probability of reading both = 0.30 Using the formula for union of two events: ``` P(A ∪ B) = P(A) + P(B) − P(A ∩ B) P(A ∪ B) = 0.50 + 0.40 − 0.30 = 0.60 ``` This means the probability that a portfolio manager reads **at least one** of the two newspapers is 0.60. Therefore, the probability that a portfolio manager does **not** read any of the two newspapers is: ``` P(neither) = 1 − P(A ∪ B) = 1 − 0.60 = 0.40 ``` **Answer: B (0.40)**
Author: Tanishq Prabhu
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Q.3257 The probability that a portfolio manager reads Business News weekly is 0.50, while the probability that a portfolio manager reads BloomField News is 0.40. If the probability that a portfolio manager reads both Business News and BloomField News is 0.30, then the probability that a portfolio manager does not read any of the two newspapers is closest to:
A
0.30
B
0.40
C
0.50
D
0.6