Question

The diagram below depicts event A and event B inside the sample space, S. Assume that R1, R2, R and Ra represent the areas in the individual regions, and together span the area of the entire sample space. For the following questions, use proper notation, i.e. P 2. R1 3 Ra If R1+ R2 - P(A) and R1 -P(A and B), write the equivalent probability statement for each of the following a) Rs b) R c) Ri+ Ra d) R2+ R3+ Ra

Answer 1

a) $R_{3}=(A'\cap B)$

b)$R_{4}=(A\cup B)'$

c) $R_{1}+R_{3}=B$

d)$R_{2}+R_{3}+R_{4}=(A\cap B)'$