Final answer:
The difference in the value of B and A, given their probabilities are 0.3 and 0.2 respectively, is 0.1. None of the provided options matches this calculation, suggesting an error in the provided options or the interpretation of the question.
Step-by-step explanation:
The value of B - A is sought given that P(A) = 0.2 and P(B) = 0.3, where A and B are independent events. From this information, we can directly subtract the probability of A from the probability of B, since they are independent and the question seems to ask for the difference in their probabilities.
P(B) - P(A) = 0.3 - 0.2 = 0.1
However, we need to match this result with the options provided: A) 0.819 B) 0.869 C) 0.919 D) 0.969. None of these options corresponds to the calculated difference of 0.1. This indicates there might be an error in the provided options or an error in the interpretation of the question. If we were to assume the question asked for the difference in some other sense or values provided elsewhere, it would not match any calculation based on the given probabilities of A and B.