Show ALL of your work in order to get credit. Note: Leave your answers to #1-4 in combinatorics format. 1. A five-card poker hand is dealt from a standard deck of 52 cards. Find the probability that: a. the hand contains exactly 4 Hearts and exactly 1 Spade b. the hand contains at least 3 Clubs c. the hand contains no more than two Queens A six-card poker hand is dealt from a standard deck of 52 cards. Find the probability that the hand has three cards of one suit, two cards of a second suit and 2. one card of a third suit. 3. There are 20 cars in the lot. 5 are for lease and 15 are for sale. You will randomly sele 4 cars show a customer. Calculate the probability that an equal number of cars for sale and cars for lease will be selected. a. b. Calculate the probability that only cars for lease are selected. You have been asked to provide 2 cars for Fairfax's July 4th parade. One of the cars C. will be painted gold and the other painted silver. Assuming selection is random, what is the probability that your one car that is a hybrid will be selected for the gold position and your one car that is a two-seater will be selected for the silver position?
Show ALL of your work in order to get credit. Note: Leave your answers to #1-4 in combinatorics format. 1. A five-card poker hand is dealt from a standard deck of 52 cards. Find the probability that: a. the hand contains exactly 4 Hearts and exactly 1 Spade b. the hand contains at least 3 Clubs c. the hand contains no more than two Queens A six-card poker hand is dealt from a standard deck of 52 cards. Find the probability that the hand has three cards of one suit, two cards of a second suit and 2. one card of a third suit. 3. There are 20 cars in the lot. 5 are for lease and 15 are for sale. You will randomly sele 4 cars show a customer. Calculate the probability that an equal number of cars for sale and cars for lease will be selected. a. b. Calculate the probability that only cars for lease are selected. You have been asked to provide 2 cars for Fairfax's July 4th parade. One of the cars C. will be painted gold and the other painted silver. Assuming selection is random, what is the probability that your one car that is a hybrid will be selected for the gold position and your one car that is a two-seater will be selected for the silver position?
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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Transcribed Image Text:Show ALL of your work in order to get credit.
Note: Leave your answers to #1-4 in combinatorics format.
1. A five-card poker hand is dealt from a standard deck of 52 cards. Find the probability
that:
a. the hand contains exactly 4 Hearts and exactly 1 Spade
b. the hand contains at least 3 Clubs
c. the hand contains no more than two Queens
A six-card poker hand is dealt from a standard deck of 52 cards. Find the
probability that the hand has three cards of one suit, two cards of a second suit and
2.
one card of a third suit.
3.
There are 20 cars in the lot. 5 are for lease and 15 are for sale. You will randomly
sele
4 cars
show a customer.
Calculate the probability that an equal number of cars for sale and cars for
lease will be selected.
a.
b.
Calculate the probability that only cars for lease are selected.
You have been asked to provide 2 cars for Fairfax's July 4th parade. One of the cars
C.
will be painted gold and the other painted silver. Assuming selection is random, what is the
probability that your one car that is a hybrid will be selected for the gold position and your
one car that is a two-seater will be selected for the silver position?
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