A bag contains 3 red and 5 black balls. Two balls are drawn one after another without replacement. The probability that both balls drawn are red is:
Step-by-Step Solution
Key Concept: Use the multiplication rule for dependent events: multiply the probability that the first ball is red by the (conditional) probability that the second ball is red given the first was red and not replaced.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: (1)