Given the following sets; A = {2,4,6,8,10}, B = {1,3,5,7,20}, and C = {10, 20, 30}...
Given the following sets; A = {2,4,6,8,10}, B = {1,3,5,7,20},
and C = {10, 20, 30}
a) B ∩ C
b) n(B)
c) B ∪ C
d) Identify any disjointed sets.
A card is drawn from a standard deck and replaced. If this experiment is repeated 40 times, what is the probability that:
a) exactly 10 of the cards are hearts (Hint: binomial event)
b) at least 15 of the cards are hearts (Hint: use the approximation method once you have proved it is valid).
Homework Answers
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Given the following sets; A = {2,4,6,8,10}, B = {1,3,5,7,20},
and C = {10, 20, 30}...
Before each draw the deck is well shuffled and a single card randomly drawn. (Use 4...
Before each draw the deck is well shuffled and a single card
randomly drawn. (Use 4 decimals for all answers)
A. What is the probability that the first card drawn is a face card
(a Jack, a Queen, or a King)?
B. What is the probability that the second card drawn is red?
C. What is the probability that the first card drawn is a face-card
AND the second card drawn is red?
D. What is the probability that the...
l. Suppose that A, B, and C are events such that PLA] = P[B] = 0.3,...
l. Suppose that A, B, and C are events such that PLA] = P[B] = 0.3, P[C] = 0.55, P[An B] = For each of the events given below in parts (a)-(d), do the following: (i) Write a set expression for the event. (Note that there are multiple ways to write this in many cases.) (ii) Evaluate the probability of the event. (Hint: Draw the Venn Diagram. You may then want to identify the probabilities of each of the disjoint...
Discrete Mathematics: Counting Principles a. How many hands consists of a pair of aces? b. How...
Discrete Mathematics: Counting Principles
a. How many hands consists of a pair of aces?
b. How many hands contain all face cards?
c. How many hands contain at least one face card?
Concern a hand consisting of 1 card drawn from a standard 52-card deck with flowers on the back and 1 card drawn from a standard 52-card deck with birds on the back. A standard deck has 13 cards from each of 4 suits (clubs, diamonds, hearts, spades). The...
b and c b) There are 20 socks in a drawer, 10 white and 10 black....
b and c
b) There are 20 socks in a drawer, 10 white and 10 black. Two socks are selected uniformly and at random. What is the probability both drawn socks are the same color? c) A standard card deck consists of 52 cards, made up of 13 cards of each of 4 different suits. Assuming the cards are selected with equal probability, what is the chance of a 5 card hand containing all cards of the same suit?
3. You have a standard deck of 52 playing cards. There are two colors (black and...
3. You have a standard deck of 52 playing cards. There are two colors (black and red) and four suits (spades are black, clubs are black, hearts are red, and diamonds are red). Each suit has 13 cards, in which there is an ace, numbered cards from 2 to 10, and three face cards (jack, queen, and king) a. You randomly draw and then replace a card. What's the probability it's an ace? What's the probability it's the 4 of...
Consider the following discrete random variables W is the number of times heads is observed when a fair coin is tossed...
Consider the following discrete random variables W is the number of times heads is observed when a fair coin is tossed 10 times. X is the number of red balls drawn when 10 balls are drawn without replacement from an urn containing 50 red balls and 30 green balls. Y is the number of hearts received when a 10-card hand is dealt from a standard deck. Z is the number of hearts drawn when 1 card is drawn at random...
I dll (10 points) Cara is taken at random from a pack of 52 playing cards,...
I dll (10 points) Cara is taken at random from a pack of 52 playing cards, and then replaced. A second ca then drawn at random from the pack. Use a tree diagram to determine the probability that: a) Both cards are Clubs, b) At least one card is a Club, c) Exactly one card is a Club, d) Neither card is a Club
C Program Please! Thanks! Spring 2019 ECE 103 Engineering Programming Problem Statement A standard deck of playi...
C Program Please! Thanks!
Spring 2019 ECE 103 Engineering Programming Problem Statement A standard deck of playing cards contains 52 cards. There are four suits (heart, diamond club +, spade+) and thirteen ranks (ace, 2 thru 10,jack, queen, king) per suit. Rank Numeric Value 10 10 10 10 gueen 10 Write a program that does the following: I. Simulates a randomized shuffling of a 52 card deck 2. Determines how many combinations of 21 exist in the deck by following...
Program 4: C++ The Game of War The game of war is a card game played by children and budding comp...
Program 4: C++ The Game of War The game of war is a card game played by children and budding computer scientists. From Wikipedia: The objective of the game is to win all cards [Source: Wikipedia]. There are different interpretations on how to play The Game of War, so we will specify our SMU rules below: 1) 52 cards are shuffled and split evenly amongst two players (26 each) a. The 26 cards are placed into a “to play” pile...
Are the following random variables binomial? If it is, state the possible values of the random variable. If not, state w...
Are the following random variables binomial? If it is, state the possible values of the random variable. If not, state why. (Hint: Check the five characteristics of a binomial experiment that we discussed in class.) (a) Bob is teaching his daughter Tina to drive. They have one driving lesson a day for one week. X = the number of days that Tina successfully goes without hitting another car. (b) Joey and Chandler are playing a board game that involves rolling...
Before each draw the deck is well shuffled and a single card
randomly drawn. (Use 4 decimals for all answers)
A. What is the probability that the first card drawn is a face card
(a Jack, a Queen, or a King)?
B. What is the probability that the second card drawn is red?
C. What is the probability that the first card drawn is a face-card
AND the second card drawn is red?
D. What is the probability that the...
l. Suppose that A, B, and C are events such that PLA] = P[B] = 0.3, P[C] = 0.55, P[An B] = For each of the events given below in parts (a)-(d), do the following: (i) Write a set expression for the event. (Note that there are multiple ways to write this in many cases.) (ii) Evaluate the probability of the event. (Hint: Draw the Venn Diagram. You may then want to identify the probabilities of each of the disjoint...
Discrete Mathematics: Counting Principles
a. How many hands consists of a pair of aces?
b. How many hands contain all face cards?
c. How many hands contain at least one face card?
Concern a hand consisting of 1 card drawn from a standard 52-card deck with flowers on the back and 1 card drawn from a standard 52-card deck with birds on the back. A standard deck has 13 cards from each of 4 suits (clubs, diamonds, hearts, spades). The...
b and c
b) There are 20 socks in a drawer, 10 white and 10 black. Two socks are selected uniformly and at random. What is the probability both drawn socks are the same color? c) A standard card deck consists of 52 cards, made up of 13 cards of each of 4 different suits. Assuming the cards are selected with equal probability, what is the chance of a 5 card hand containing all cards of the same suit?
3. You have a standard deck of 52 playing cards. There are two colors (black and red) and four suits (spades are black, clubs are black, hearts are red, and diamonds are red). Each suit has 13 cards, in which there is an ace, numbered cards from 2 to 10, and three face cards (jack, queen, and king) a. You randomly draw and then replace a card. What's the probability it's an ace? What's the probability it's the 4 of...
I dll (10 points) Cara is taken at random from a pack of 52 playing cards, and then replaced. A second ca then drawn at random from the pack. Use a tree diagram to determine the probability that: a) Both cards are Clubs, b) At least one card is a Club, c) Exactly one card is a Club, d) Neither card is a Club
C Program Please! Thanks!
Spring 2019 ECE 103 Engineering Programming Problem Statement A standard deck of playing cards contains 52 cards. There are four suits (heart, diamond club +, spade+) and thirteen ranks (ace, 2 thru 10,jack, queen, king) per suit. Rank Numeric Value 10 10 10 10 gueen 10 Write a program that does the following: I. Simulates a randomized shuffling of a 52 card deck 2. Determines how many combinations of 21 exist in the deck by following...
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