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6. In a school contest, each student draws a number from 1 to 5 at random out of a large basket. The outcomes are shown in the table below.
Based on the data in the table, what is the expected probability of drawing a 3 ?




Number Drawn
1
2
3
4
5





Number of


Times Drawn




83
79
88
72
85





(488)/(740)

(((814)/(407))/(5))((2)/(388))/(sqrt(407))quad(-6)/(28)

(22)\newline66. In a school contest, each student draws a number from 11 to 55 at random out of a large basket. The outcomes are shown in the table below.\newlineBased on the data in the table, what is the expected probability of drawing a 33 ?\newline\begin{tabular}{|l|c|c|c|c|c|}\newline\hline Number Drawn & 11 & 22 & 33 & 44 & 55 \\\newline\hline \begin{tabular}{l} \newlineNumber of \\\newlineTimes Drawn\newline\end{tabular} & 8383 & 7979 & 8888 & 7272 & 8585 \\\newline\hline\newline\end{tabular}\newline488740 \frac{488}{740} \newline 5 \longdiv { \frac { 8 1 4 } { 4 0 7 } } \frac { \frac { 2 } { 3 8 8 } } { \sqrt { 4 0 7 } } \quad \frac { - 6 } { 2 8 }

Full solution

Q. (22)\newline66. In a school contest, each student draws a number from 11 to 55 at random out of a large basket. The outcomes are shown in the table below.\newlineBased on the data in the table, what is the expected probability of drawing a 33 ?\newline\begin{tabular}{|l|c|c|c|c|c|}\newline\hline Number Drawn & 11 & 22 & 33 & 44 & 55 \\\newline\hline \begin{tabular}{l} \newlineNumber of \\\newlineTimes Drawn\newline\end{tabular} & 8383 & 7979 & 8888 & 7272 & 8585 \\\newline\hline\newline\end{tabular}\newline488740 \frac{488}{740} \newline 5 \longdiv { \frac { 8 1 4 } { 4 0 7 } } \frac { \frac { 2 } { 3 8 8 } } { \sqrt { 4 0 7 } } \quad \frac { - 6 } { 2 8 }
  1. Add up all draws: Add up all the times each number was drawn to find the total number of draws.\newline83+79+88+72+85=40783 + 79 + 88 + 72 + 85 = 407

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