2. A bag contains orange, white, and purple marbles. If you randomly choose a marble from the bag, there is a \( 17 \% \) chance of drawing an orange marble and a \( 50 \% \) chance of drawing a white marble. What is the probability of choosing a purple marble? Express your answer as a percent. \( \begin{array}{ll}\text { a. } 67 \% & \text { c. } 33 \% \\ \text { b. } 33 \frac{1}{3} \% & \text { d. } 17 \%\end{array} \)
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To find the probability of selecting a purple marble, we can start by recognizing that the total probability of all marbles must equal 100%. Given that there's a \( 17\% \) chance of drawing an orange marble and a \( 50\% \) chance of drawing a white marble, we can add those probabilities: \[ 17\% + 50\% = 67\% \] Now, to find the probability of drawing a purple marble, we subtract this from 100%: \[ 100\% - 67\% = 33\% \] So, the probability of choosing a purple marble is \( 33\% \). The correct answer is \( c. \, 33\% \).
