Question

In a card game, the probability that you will have a hand with two pairs is...

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? Explain.

A geometric cumulative distribution function should be used because the question asks for the probability for a player to be dealt two pairs in the first hand.

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.

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%.
A geometric probability density function should be used because the question states that the probability for having a hand with two pairs is about 24%.

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.
Math   Statistics-And-Probability   
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Homework Answers

Answer #1

The geometric distribution gives the probability that the first occurrence of success requires k independent trials, each with success probability p.

Thus since the dealer wants to find the probability for a player to be dealt two pairs in the first hand, and the probability that you will have a hand with two pairs is about 24% , we have

p = 0.24 and k = 1

Since probability of 1 occurrence is required we do not need cumulative probability

Hence, Answer is

Option 2

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.

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