A cable channel survey showed that 50% of subscribers preferred watching a comedy to an action movie on Saturday nights. If you want to estimate the probability that exactly two of three randomly picked subscribers prefer watching action movie on a Saturday night, how could you design a simulation for the scenario using a standard deck of playing cards?

Draw a card from a deck of standard playing cards three times, with face cards representing those who prefer a comedy and the other cards representing those who prefer an action movie.

What is probability of random selection?

It is defined as a sampling technique in which the researcher chooses samples from a larger population using a method based on the theory of probability.

For a participant to be considered as a probability sample, he/she must be selected using a random selection.

According to the question,

A cable channel survey showed

on Saturday night subscribers preferred watching a comedy = 50%

subscribers preferred watching a Action = 50%

We need to design the scenario using a standard deck of playing cards

In a playing cards sets,

50% of playing cards set = subscribers preferred watching a comedy

& rest 50% of playing cards set = subscribers preferred watching Action

But we want to estimate the probability that exactly two of three randomly picked subscribers prefer watching action movie on a Saturday night,

Here, the face cards are 12 in number out of 52.

So, there are 40 number cards.

So, the probability of a number card occurring is more.

So, as it is to be estimated that 2 out of 3 people prefer to watch action movie

This means, Draw a card from a deck of standard playing cards three times, with face cards representing those who prefer a comedy and the other cards representing those who prefer an action movie.

Hence a simulation for the given scenario using a standard deck of playing cards would be,

Draw a card from a deck of standard playing cards three times, with face cards representing those who prefer a comedy and the other cards representing those who prefer an action movie.

To know more about probability of random selection here:

https://brainly.com/question/21575788

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