Acable 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.

Option A is the answer.

Step-by-step 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.

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°

constant of proportionality = 3 and the equation is c = 3p.

step-by-step explanation:

c = kp   where c = amount of caffeine in mg., p = oz of pepsi and k is the constant of proportionality.

substituting the values given:

24 = 8k

k = 3.

the same value of k will be obtained if we substitute the other given values.