Step 1 :Calculate the probability of picking two raspberry chocolates: P(R1 and R2) = P(R1) * P(R2|R1) = 0.5 * 0.5 = \(0.25\)
Step 2 :Calculate the probability of both chocolates being the same flavor: P(S) = P(R1 and R2) + P(C1 and C2) = 0.25 + 0.25 = \(0.5\)
Step 3 :Calculate the conditional probability: P(R1 and R2 | S) = P(R1 and R2) / P(S) = 0.25 / 0.5 = \(\boxed{0.5}\)