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Question
a bag contains 30 red, 40 blue, and 50 white buttons. you pick one button at random. find the probability that it is not blue. p(not blue) = \frac{?}{}
Step1: Calculate total number of buttons
Total buttons = \(30 + 40+50=120\)
Step2: Calculate number of non - blue buttons
Non - blue buttons = \(30 + 50 = 80\)
Step3: Calculate probability
Probability \(P(\text{not blue})=\frac{\text{Number of non - blue buttons}}{\text{Total number of buttons}}=\frac{80}{120}=\frac{2}{3}\)
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\(\frac{2}{3}\)