Question

A cable channel survey showed that about 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 an action movie on a Saturday night, how could you design a simulation for the scenario using a standard deck of playing cards?

a.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.

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

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

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

Answer 1

A.
it is the closest to a 2:1 ratio

the others are a 2:2 or a 1:2 ratio

Answer 2

Option A is the answer.

Explanation:

a.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.

This is the answer because we have to estimate the probability that exactly two of three randomly picked subscribers prefer watching an 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 option holds true.