Question

A die is rolled 200 times with the following results. Outcome 1 2 3 4 5 6 Frequency 32 36 44 20 30 38 What is the theoretical probability of the given event? P(even)
A: 1/3
B:1/2
C:1
D:3/7

Answer 1

Solution:

To find the theoretical probability of the event,fi nd the Favourable outcomes of the event.As shown in the table below

$\begin{table}[] \begin{tabular}{|l|l|l|} \cline{1-3} Observation & Freq. & \\ \cline{1-3} 1 & 32 & \\ \cline{1-3} 2 & 36 & \begin{tabular}[c]{@{}l@{}}-\textgreater Favourable\\ Outcome\end{tabular} \\ \cline{1-3} 3 & 44 & \\ \cline{1-3} 4 & 20 & \begin{tabular}[c]{@{}l@{}}-\textgreater Favourable\\ Outcome\end{tabular} \\ \cline{1-3} 5 & 30 & \\ \cline{1-3} 6 & 38 & \begin{tabular}[c]{@{}l@{}}-\textgreater Favourable\\ Outcome\end{tabular} \\ \cline{1-3} Total & 200 & \\ \cline{1-3} \end{tabular} \end{table}$

We know that

$Probability = \frac{favourable \: outcomes}{total \: possible \: outcomes} \\ \\ P(even) = \frac{36 + 20 + 38}{200} \\ \\ = \frac{94}{200} \\ \\P(even) = \frac{47}{100}$
*There might some mistake in the options or in the data.for given data this result will come.

Hope it helps you.

Answer 2

Answer:

B.) 1/2

Step-by-step explanation:

It's asking for the theoretical probability not the experimental. Basically this means you find the answer with out using the amount of rolls. You find the answer by counting the number of all numbers 1-6 so there are 6 numbers. Then you count how many even numbers there are and there are 3. Put 3/6 and simplify and you have ur answer. B.) 1/2