sen?2. A poker hand consists of 5 cards chosen at random from a standard deck of cards. Howmany poker hands containing all face cards are possible?3. Suppose 7 female and 6 male applicants have been successfully screened for 5 positions.In how many ways can the following compositions be selected?a. 5 people regardless of genderb. 3 females and 2 malesc. at least 3 femalesd. 4 females and 1 malee. 5 females4. In a game of poker, a full house is a combination of 5 cards chosen from a standard deckof cards with three of a kind and two of a kind. How many full houses are possible?

A deck contain 52 cards in whichh their are 4 suits and each suit contain 13 cards.

Answered: 2. A poker hand consists of 5 cards…

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...

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2. How many ways can 3 cards be selected from a standard deck of 52 cards, disregarding the order of selection? 22,100 O 132,600 O19,500 20,100 W Chp
3. Three dice is thrown. a. How many different outcomes are possible? b. If you picked a certain sum as your lucky number, in how many ways could you get a sum of: b₁ : b₂ : b3 : b4 : bs : 4 3 17 18 20
1. Read and analyze the following problems. Write your solution on a sheet of paper. The coach of the winning basketball team chooses 3 of the 15 members to be interviewed by a sports reporter. In how many ways can the members to be interviewed be chosen? A poker hand consists of 5 cards chosen at random from a standard deck of cards. How many poker hands containing all face cards are possible? 2. 3. Suppose 7 female and 6 male applicants have been successfully screened for 5 positions. In how many ways can the following compositions be selected? a. 5 people regardless of gender b. 3 females and 2 males C. at least 3 females d. 4 females and 1 male e. 5 females 4. In a game of poker, a full house is a combination of 5 cards chosen from a standard deck of cards with three of a kind and two of a kind. How many full houses are possible?
A. The Computer Geek Org has 23 members: 3 freshmen, 5 sophomore, 7 junior, and 8 senior students. If you are going to pick a certain number of name/s at random, at least how many should you pick to make sure that you have 2 students with the same year level? Use the pigeonhole principle and state your conclusion.
There are three dice rolled at the same time. a. How many possible outcomes are there if the sum of the rolled dice is equal to five?
Imagine you’re running a basketball camp. You have all 20 athletes put their name in the cap, and you pull out 5 at random to create a team. a. How many different combinations of teams could you pull? b. How many time more permutations are there than combinations
A tennis tournament is being held with n tennis players participating. The system used in these tournaments is that each player will play against every other player exactly once. a. How many matches between players? b. What is the number of possible possible outcomes of the entire game?
1. Assume that a class of 16 students is supposed to write an essay. If 3 essays are randomly selected to appear on the class bulletin board, how many different groups of 3are possible? (calculate number of combinations of 3 items from 16 available items).Show the result of calculations.
1. A bag of balls contains 5 different colored balls that are alike except for the color. The colors are red, yellow, blue, green, and orange. If 3 balls are selected at random (without replacement), how many combinations are possible?
15) Use the situation below to answer the question that follows. Team Jet has 7 members who won a school competition. Of these 7, 4 members are randomly picked to receive prizes for winning. The 1st member selected wins a $50 gift card; the 2nd person selected wins a $25 gift card; the 3rd person selected wins a $10 gift card; the 4th person selected wins a $5 gift card. The names of Team Jet's members are represented by the first letter of their first names, as displayed in the following table: Name Frank Gina Harriet Inez Jakob Keven Liu Letter F G H I J K L In the box below, complete the remaining three rows of the list that models how to calculate the number of possible ways 4 team members can be selected to win the prizes. 1) FGHIJKL Let Lui win the 1st prize, so select L. 2) 3) 4)

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