This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Hey جدة — ready when you are. This problem requires calculating a conditional probability. Let C_101 be the event that a student takes COM 101. Let C_201 be the event that a student takes COM 201. We are given: The probability that a student takes COM 101 and COM 201 in the same semester: P(C_101 and C_201) = 0.0125. The probability that a student takes COM 101: P(C_101) = 0.125. We need to find the probability that a student is taking COM 201, given that he or she is taking COM 101. This is written as P(C_201 | C_101). The formula for conditional probability is: P(A|B) = P(A and B)P(B) Step 1: Identify the given probabilities. P(C_201 and C_101) = 0.0125 P(C_101) = 0.125 Step 2: Apply the conditional probability formula. P(C_201 | C_101) = P(C_201 and C_101)P(C_101) P(C_201 | C_101) = (0.0125)/(0.125) Step 3: Calculate the result. P(C_201 | C_101) = 0.1 Comparing this result with the given options: a) 0.1 b) 0.1125 c) 0.0016 d) 0.1375 e) 0.4800 The calculated probability matches option (a). The final answer is a) 0.1. Send me the next one 📸