taiwan-gsat 2025 Q1

taiwan-gsat · Other · gsat__math-a 5 marks Independent Events
An opaque bag contains blue and green balls, each marked with a number 1 or 2. The quantities are shown in the table below. For example, there are 2 blue balls marked with number 1.
BlueGreen
Number 124
Number 23$k$

A ball is randomly drawn from the bag (each ball has an equal probability of being drawn). Given that the event of drawing a blue ball and the event of drawing a ball marked with 1 are independent, what is the value of $k$?
(1) 2
(2) 3
(3) 4
(4) 5
(5) 6
An opaque bag contains blue and green balls, each marked with a number 1 or 2. The quantities are shown in the table below. For example, there are 2 blue balls marked with number 1.

\begin{center}
\begin{tabular}{ | c | c | c | }
\hline
 & Blue & Green \\
\hline
Number 1 & 2 & 4 \\
\hline
Number 2 & 3 & $k$ \\
\hline
\end{tabular}
\end{center}

A ball is randomly drawn from the bag (each ball has an equal probability of being drawn). Given that the event of drawing a blue ball and the event of drawing a ball marked with 1 are independent, what is the value of $k$?\\
(1) 2\\
(2) 3\\
(3) 4\\
(4) 5\\
(5) 6