\use the Venn diagram to calculate probabilities.Which probabilities are correct? Check all that apply.P(A|C) = 2/3P(C|B) = 8/27P(A) = 31/59P(C) = 3/7P(B|A) = 13/27
Accepted Solution
A:
Answer: The first and the third.
The two statements that are correct are the first and third options.
In the first choice, we are looking for values that are in A given that they are already a part of B. 14 of the values in B are also in A. This can be reduced to 2/3 as shown.
In the third choice, we are simply looking for the fraction of the entire chart that are in A. There are 31 values in A and 59 in the total chart. Therefore, the fraction 31/59 is correct.