To find the complement of not picking a pink marble, we first need to calculate the total number of marbles in the bag and the number of marbles that are not pink.
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Count the 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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Count the number of non-pink marbles:
- Red, Green, Blue, and White: 5 + 8 + 2 + 6 = 21 non-pink marbles.
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Calculate the probability of not picking a pink marble: \[ P(\text{not pink}) = \frac{\text{number of non-pink marbles}}{\text{total number of marbles}} = \frac{21}{30} \]
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Calculate the complement of the probability of not picking a pink marble: \[ P(\text{pink}) = 1 - P(\text{not pink}) = 1 - \frac{21}{30} = \frac{30 - 21}{30} = \frac{9}{30} = \frac{3}{10} \]
Thus, the complement of not picking a pink marble is \( \frac{3}{10} \).
The correct response is: Start Fraction 3 over 10 End Fraction