21. A bag contains black, white, gray, red, and blue marbles. Each of the 20 students in class is asked to reach in the bag and choose a marble. The color is recorded and the marble is replaced in the bag before the next draw. The results are shown below.\begin{tabular}{|c|c|}\hline Marbles & Number of Draws \\\hline Black & 4 \\\hline White & 7 \\\hline Gray & 2 \\\hline Red & 6 \\\hline Blue & 1 \\\hline\end{tabular}Based on these results, what is the best prediction of the number of black or red marbles in the bag if it contains 80 marbles?
Q. 21. A bag contains black, white, gray, red, and blue marbles. Each of the 20 students in class is asked to reach in the bag and choose a marble. The color is recorded and the marble is replaced in the bag before the next draw. The results are shown below.\begin{tabular}{|c|c|}\hline Marbles & Number of Draws \\\hline Black & 4 \\\hline White & 7 \\\hline Gray & 2 \\\hline Red & 6 \\\hline Blue & 1 \\\hline\end{tabular}Based on these results, what is the best prediction of the number of black or red marbles in the bag if it contains 80 marbles?
Total draws calculation: Total draws: 4 (Black) + 7 (White) + 2 (Gray) + 6 (Red) + 1 (Blue) = 20 draws.
Black and Red draws: Black and Red draws combined: 4 (Black) + 6 (Red) = 10 draws.
Proportion calculation: Proportion of Black and Red draws to total draws: 2010=21.
Total Black and Red marbles: If there are 80 marbles in total, and Black and Red marbles are half based on the draw proportion, then: 80×(21)=40 marbles.
More problems from Estimate population size using proportions