To find the complement of not picking a pink marble, we first need to determine the total number of marbles and the number of pink marbles.
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Total number of marbles:
- Pink: 9
- Red: 5
- Green: 8
- Blue: 2
- White: 6
Total = 9 + 5 + 8 + 2 + 6 = 30 marbles
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Number of pink marbles: 9
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Probability of not picking a pink marble: The number of non-pink marbles is:
- Total marbles - Pink marbles = 30 - 9 = 21
Therefore, the probability of not picking a pink marble is: \[ P(\text{not pink}) = \frac{21}{30} = \frac{7}{10} \]
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Complement of not picking a pink marble: The complement of not picking a pink marble is picking a pink marble. Therefore, the probability of picking a pink marble is given by: \[ P(\text{pink}) = 1 - P(\text{not pink}) = 1 - \frac{21}{30} = \frac{9}{30} = \frac{3}{10} \]
Thus, the final answer for the complement of not picking a pink marble is: \[ \frac{3}{10} \]
Therefore, the correct response is: 310 (Start Fraction 3 over 10 End Fraction)