The probability that a candidate passes the entrance exam is 3/4. If 3 candidates take the test independently, what is the probability that at least one passes?
Answer and explanation
Correct answer: C. 63/64
- Step 1: P(at least one passes) = 1 - P(all three fail). Step 2. P(fail) = 1 - 3/4 = 1/4. Step 3. P(all fail) = (1/4)^3 = 1/64. Step 4. P = 1 - 1/64 = 63/64. Answer: 63/64. Why not the others: 27/64 is the probability that all three pass.
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