Multiple choice

A bag contains 5 white, 4 black and 2 red balls. Balls are drawn one by one without repl_acement. The probability that the 5th ball is a red ball, is

  1. 2/11

  2. 4/11

  3. 3/7

  4. 6/11
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A Correct answer
Explanation

In a random draw without replacement, the probability of any specific ball being at any specific position is the same as the probability of it being in the first position. P(5th is red) = 2/11.

AI explanation

By the principle of symmetry, the probability of drawing a specific color in any given position remains constant regardless of previous draws. The total number of balls is 5 + 4 + 2 = 11. The probability that the 5th ball drawn is red is exactly the same as the probability of drawing a red ball first, which is the 2 red balls divided by the 11 total balls, yielding 2/11.

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