A box contains 4 red balls and 6 white balls. Two balls are drawn successively without replacement. What is the probability that both balls drawn are white?

Answer and explanation

Correct answer: D.

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  1. Step 1: Total balls initially in the box is . The probability that the first drawn ball is white is :
  2. Step 2: Given that the first ball was white and not replaced, there are now white balls remaining out of total balls. The conditional probability that the second ball is white is :
  3. Step 3: Multiply to find the joint probability :
Answer
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