In a card game, the probability that you will have a hand with three of a kind is about 6%. The dealer wants to know the probability for a player to be dealt three of a kind by at least the second hand. Should a geometric probability density function or a cumulative distribution function be used? Explain.

Cumulative distribution function of a random variable is a method to describe the distribution of the random variables. For the given question a geometric probability density function or a cumulative distribution function should not be used.

From the geometry distribution that gives the probability of the first hand occourness of success required the total independent variable let k. Then the probability P at x=k is,

[tex]P_r=(1-P)^{k-1}P[/tex]

So by this we can say that the dealer wants to know the probability for a player to be dealt three of a kind by at least the second hand is in two pairs of the hands. Thus the probability will be 4 times the probability of the same kind hand. So for 24 percent probability, we have

[tex]P=0.24[/tex]

where the value of k is one.

As the probability for the value of k is one is needed, hence we do not need the cumulative distribution function.

Thus, For the given question a geometric probability density function or a cumulative distribution function should not be used.

Learn more about the Cumulative distribution function here;

https://brainly.com/question/19884447