An event A will occur with probability 0.5. An event B will occur with probabili
ID: 3241697 • Letter: A
Question
An event A will occur with probability 0.5. An event B will occur with probability 0.6. The probability that both A and B will occur is 0.1. The conditional probability of B, given A, is. A. 5/6. B. 1/5. C. 1/6. D. The answer cannot be determined from the information given. An event A will occur with probability 05. An event B will occur with probability 0.6. The probability that both A and B will occur is 0 1. We may conclude that. A. events A and B are independent. B. events A and B are disjoint. C. either A or B always occurs. D. None of the answer choices is correct. Event A occurs with probability 0.3, and event B occurs with probability 0.4. If A and B are independent, we may conclude that. A. P(A and B) = 0.12. B. P(A|B) = 0.3. C. P(B|A) = 0.4. D. All of the answer choices are correct.Explanation / Answer
38) P(B | A) = P(A and B) / P(A) = 0.1 / 0.5 = 1/5
Option-B) 1/5
39) P(A or B) = P(A) + P(B) - P(A and B) = 0.5 + 0.6 - 0.1 = 1
Option-C) either A or B always occur.
40) If A and B are independent, P(A and B) = P(A) * P(B) = 0.3 * 0.4 = 0.12
P(A | B) = P(A) = 0.3
P(B | A) = P(B) = 0.4
Option-D) All of the answers choices are correct.