Question

In a card game, the probability that you will have a hand with two pairs is about 24%. The dealer wants to know the probability for a player to be dealt two pairs in the first hand. Should a geometric probability density function or a cumulative distribution function be used?
A.) A geometric probability density function should be used because the question asks for the probability for a player to be dealt two pairs in the first hand.
B.) A geometric cumulative distribution function should be used because the question states that the probability for having a hand with two pairs is about 24%.
C.) There is not enough information to be to able to determine whether a geometric probability density function or a cumulative distribution function should be used.

Answer 1

There is not enough information to be to able to determine whether a geometric probability density function or a cumulative distribution function should be used.

Answer: Option C.

Explanation:

Geometric probability density function is the probability function which talks about the probability of two different sets which are in some way related to each other and the probability of one set affects the probability of the other set.

On the other hand, the geometric cumulative distribution function speaks about modelling number of failures before the first success in repeated independent trials. In this case none of this is clear from the statement given in the question. So it is tough to determine the function.