brazil-enem 2012 Q146

brazil-enem · Other · enem__day2 Not Maths
In a game there are two urns with 10 balls of the same size in each urn. The table below indicates the quantities of balls of each color in each urn.
ColorUrn 1Urn 2
Yellow40
Blue31
White22
Green13
Red04

A turn consists of: $1^{\circ}$) the player makes a guess about the color of the ball that will be drawn by them from urn 2; $2^{\circ}$) they randomly draw a ball from urn 1 and place it in urn 2, mixing it with those already there; $3^{\circ}$) then they also randomly draw a ball from urn 2; $4^{\circ}$) if the color of the last ball drawn is the same as the initial guess, they win the game.
Which color should be chosen by the player so that they have the greatest probability of winning?
(A) Blue.
(B) Yellow.
(C) White.
(D) Green.
(E) Red.
In a game there are two urns with 10 balls of the same size in each urn. The table below indicates the quantities of balls of each color in each urn.

\begin{center}
\begin{tabular}{|l|l|l|}
\hline
Color & Urn 1 & Urn 2 \\
\hline
Yellow & 4 & 0 \\
\hline
Blue & 3 & 1 \\
\hline
White & 2 & 2 \\
\hline
Green & 1 & 3 \\
\hline
Red & 0 & 4 \\
\hline
\end{tabular}
\end{center}

A turn consists of:\\
$1^{\circ}$) the player makes a guess about the color of the ball that will be drawn by them from urn 2;\\
$2^{\circ}$) they randomly draw a ball from urn 1 and place it in urn 2, mixing it with those already there;\\
$3^{\circ}$) then they also randomly draw a ball from urn 2;\\
$4^{\circ}$) if the color of the last ball drawn is the same as the initial guess, they win the game.

Which color should be chosen by the player so that they have the greatest probability of winning?\\
(A) Blue.\\
(B) Yellow.\\
(C) White.\\
(D) Green.\\
(E) Red.