Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

A movie studio surveyed married couples about the types of movies they prefer.
In the survey, the husband and wife were each asked if they prefer action, comedy, or drama.
Here is a summary of the data the studio got after asking 75 couples.




Husband
Wife



Number of


couples






action
action
7


action
comedy
13


action
drama
5


comedy
action
9


comedy
comedy
4


comedy
drama
9


drama
action
10


drama
comedy
12


drama
drama
6




Suppose the movie studio will ask 100 more couples about their movie preferences.
How many of these 100 couples will have at most one spouse prefer drama movies? Use the data to make a prediction.

A movie studio surveyed married couples about the types of movies they prefer.\newlineIn the survey, the husband and wife were each asked if they prefer action, comedy, or drama.\newlineHere is a summary of the data the studio got after asking 7575 couples.\newline\begin{tabular}{|c|c|c|}\newline\hline Husband & Wife & \begin{tabular}{c} \newlineNumber of \\\newlinecouples\newline\end{tabular} \\\newline\hline action & action & 77 \\\newline\hline action & comedy & 1313 \\\newline\hline action & drama & 55 \\\newline\hline comedy & action & 99 \\\newline\hline comedy & comedy & 44 \\\newline\hline comedy & drama & 99 \\\newline\hline drama & action & 1010 \\\newline\hline drama & comedy & 1212 \\\newline\hline drama & drama & 66 \\\newline\hline\newline\end{tabular}\newlineSuppose the movie studio will ask 100100 more couples about their movie preferences.\newlineHow many of these 100100 couples will have at most one spouse prefer drama movies? Use the data to make a prediction.

Full solution

Q. A movie studio surveyed married couples about the types of movies they prefer.\newlineIn the survey, the husband and wife were each asked if they prefer action, comedy, or drama.\newlineHere is a summary of the data the studio got after asking 7575 couples.\newline\begin{tabular}{|c|c|c|}\newline\hline Husband & Wife & \begin{tabular}{c} \newlineNumber of \\\newlinecouples\newline\end{tabular} \\\newline\hline action & action & 77 \\\newline\hline action & comedy & 1313 \\\newline\hline action & drama & 55 \\\newline\hline comedy & action & 99 \\\newline\hline comedy & comedy & 44 \\\newline\hline comedy & drama & 99 \\\newline\hline drama & action & 1010 \\\newline\hline drama & comedy & 1212 \\\newline\hline drama & drama & 66 \\\newline\hline\newline\end{tabular}\newlineSuppose the movie studio will ask 100100 more couples about their movie preferences.\newlineHow many of these 100100 couples will have at most one spouse prefer drama movies? Use the data to make a prediction.
  1. Calculate Couples with Drama Preference: Calculate the total number of couples where at least one spouse prefers drama.
  2. Total Couples Surveyed: Calculate the total number of couples surveyed.
  3. Proportion of Couples with One Drama Preference: Find the proportion of couples where at most one spouse prefers drama.
  4. Predicted Couples with One Drama Preference: Predict the number of couples out of 100100 that will have at most one spouse preferring drama.

More problems from Find probabilities using the addition rule