You pay $11 to play a game where you draw a numbered ball from a bucket containing 12 identical balls numbered 1-12. If you draw a ball numbered less than 3 (.e. 1 or 2), you win a dollar amount equal to the number on the ball. If you draw a ball numbered with a multiple of 3, you win $3. If you draw a ball with any other number, you win nothing. Let X be your net winnings. Create the probability distribution for X. Enter the values of X in ascending order from left to right. All answers should be exact. X P(X) 0 1/2 Submit Answer x ✓ 1 1/12 X ✓ 2 1/12 X ✓ 3 1/3 X ✓

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