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There are two bags containing only yellow and purple marbles.$\newline$Bag $\mathbf{A}$ has $9$ purple marbles and $11$ yellow marbles.$\newline$Bag $\mathbf{B}$ has $6$ purple marbles and $6$ yellow marbles.$\newline$A marble is randomly chosen from each bag.$\newline$List these events from least likely to most likely.$\newline$Event $1$: choosing a green marble from Bag A.$\newline$Event $2$: choosing a purple marble from Bag A.$\newline$Event $3$: choosing a purple or yellow marble from Bag B.$\newline$Event $4$: choosing a yellow marble from Bag B.$\newline$Least likely $\xrightarrow{ } \quad$ Most likely