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Refer to Exercise 2.146. A gambler has been dealt five

Mathematical Statistics with Applications | 7th Edition | ISBN: 9780495110811 | Authors: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer ISBN: 9780495110811 47

Solution for problem 147SE Chapter 2

Mathematical Statistics with Applications | 7th Edition

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Mathematical Statistics with Applications | 7th Edition | ISBN: 9780495110811 | Authors: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer

Mathematical Statistics with Applications | 7th Edition

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Problem 147SE

Problem 147SE

Refer to Exercise 2.146. A gambler has been dealt five cards: two aces, one king, one five, and one 9. He discards the 5 and the 9 and is dealt two more cards. What is the probability that he ends up with a full house?

Reference

Five cards are drawn from a standard 52-card playing deck. What is the probability that all 5 cards will be of the same suit?

Step-by-Step Solution:

Solution :

Step 1 of 1:

Given a gambler has been dealt 5 cards.

Our goal is:

We need to find the probability that he ends up with a full house.

We know that a gambler has been dealt 5 cards.

If he is dealt two kings or an ace and a king.

There are 47 cards remaining in the deck, two of which are aces and three are kings

Then the probabilities of these events areand respectively.

Now we have to find the probability that he ends up with a full house.

So, the probability of full house is given by

+

The formula of the combinations is

Then,

 

3

Hence, 3.

 

1081

 

Hence =1081.

Similarly we get =3, =2.

Now we substitute all the values.

+

+

= 0.000832

Therefore,  the probability that he ends up with a full house 0.000832.


 

Step 2 of 1

Chapter 2, Problem 147SE is Solved
Textbook: Mathematical Statistics with Applications
Edition: 7
Author: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer
ISBN: 9780495110811

Mathematical Statistics with Applications was written by and is associated to the ISBN: 9780495110811. Since the solution to 147SE from 2 chapter was answered, more than 346 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Mathematical Statistics with Applications , edition: 7. This full solution covers the following key subjects: Cards, Probability, dealt, full, Card. This expansive textbook survival guide covers 32 chapters, and 3350 solutions. The full step-by-step solution to problem: 147SE from chapter: 2 was answered by , our top Statistics solution expert on 07/18/17, 08:07AM. The answer to “Refer to Exercise 2.146. A gambler has been dealt five cards: two aces, one king, one five, and one 9. He discards the 5 and the 9 and is dealt two more cards. What is the probability that he ends up with a full house?ReferenceFive cards are drawn from a standard 52-card playing deck. What is the probability that all 5 cards will be of the same suit?” is broken down into a number of easy to follow steps, and 68 words.

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Refer to Exercise 2.146. A gambler has been dealt five