Consider a deck of 52 cards with 4 suits and 13 cards (2-10,J,K,Q,A) in each suit. Jack takes one such deck and arranges them in a line in a completelyrandom order. Now he wants to find the number of "Power Trios" in this line of cards. A "Power Trio" is a set of 3 consecutive cards where all cards areeither a Jack, Queen or King (J,Q or K). A "Perfect Power Trio" is a set of 3 consecutive cards with exactly 1 Jack, 1 Queen and 1 King (in any order).Find the expected number of Power Trios that Jack will find.Find the expected number of Perfect Power Trios that Jack will find.

Answered: Image /qna-images/answer/d0f2ba2b-0afb-4df7-85ec-171758b116ad.jpg

Answered: Consider a deck of 52 cards with 4…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

A pizza restaurant is offering a promotion in which you can order a large pizza and your choice of a side or a bottle of soda (but not both a side and a bottle of soda). There are 5 pizza choices, 7 sides, and 11 kinds of soda. How many options are there with this promotion?
A carnival game has 160 rubber ducks floating in a pool. The person playing the game takes out one duck and looks at it. If there's a red mark on the bottom of the duck, the person wins a small prize. If there's a blue mark on the bottom of the duck, the person wins a large prize. Many ducks do not have a mark. After 50 people have played the game, only 3 of them have won a small prize, and none of them have won a large prize. Estimate the number of the 160 ducks that you think have red marks on the bottom. Then estimate the number of ducks you think have blue marks. Explain your reasoning.
In a certain card game, for every 4 blue cards, there are 3 yellow cards. There are a total of 84 blue and yellow cards in the game.
A theater has 23 rows of seats. The first row has 20 seats, the second row has 22 seats, the third row has 24 seats, and so on. How many seats are in the theater? The theater has seats.
A standard deck of 52 playing cards consists of four suits (hearts, spades, diamonds and clubs). Spades and clubs are black while hearts and diamonds are red. Each suit contains 13 cards, each of a different rank: an Ace (which in many games functions as both a low card and a high card), cards numbered 2 through 10, a Jack, a Queen and a King. Find P(red)+P(not red)
A basket contains seven apples and four peaches. Five of the apples and two of the peaches are rotten. You randomly pick a piece of fruit. It is fresh or it is an apple.
How many two pairs (two cards with the same face, two more cards with the same face, and another card) are possible in 5 card poker?
Suppose you choose 3 cards from a standard 52-card deck. How many different choices are possible if all three cards must be of the same denomination? at least 2 cards must be of the same denomination? each card must be of a different denomination?
A person has 4 hats, 3 pairs of gloves, and 5 scarves. Assuming they all match, how many ways can this person choose 1 hat, 1 pair of gloves, and 1 scarf on a cold day?

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS