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First, notice that we have in total 15 items. Then, we have that the probabilities are:


\begin{gathered} \text{ \# of items with yellow: }3 \\ \Rightarrow P(Yellow)=(3)/(15)=(1)/(5) \\ \text{ \# of items with purple: 2} \\ \Rightarrow P(Purple)=(2)/(15) \\ \text{ \# of items striped: 4} \\ \Rightarrow P(not\text{ striped)}=1-P(striped)=1-(4)/(15)=(11)/(15) \\ \text{ \# of items solid: 5} \\ \Rightarrow P(solid)=(5)/(15)=(1)/(3) \\ \text{ \#items with polka dot: 3} \\ \Rightarrow P(not\text{ polka dot) = 1 - P(polka dot) = 1-}(3)/(15)=(4)/(5) \end{gathered}

User Pablo Venturino
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