Probability
Conditional Probability
Premium Question
Grade 12

Question:

An urn contains 5 white and 3 black balls. Two balls are drawn one after the other without replacement. The probability that both balls drawn are white is:
(1) $\frac{5}{14}$
(2) $\frac{15}{28}$
(3) $\frac{5}{8}$
(4) $\frac{25}{64}$

Step-by-Step Solution

Key Concept: Multiply the probability that the first ball drawn is white by the conditional probability that the second ball is also white, given that the first (white) ball was not replaced.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: (1)

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