1.How many possible orderings of letters ABCDEFG are there?
2.How many strings of length 4 can be made using the letters ABCDEFG?
3.How many subsets of size 4 are there of the letters ABCDEFG.
4.How many possible strings are there of the letters "MATTER"?
5.Consider four books: an engineering book (E), a physics book (P), a history book (H), and an Art book (A).
Consider the following problem:
Suppose that the library has at least six copies of each of these books. In how many ways can we select six books?
Express this problem in terms of k-element selections on page 76 of the notes. What are the values of k and t?
6 .In rolling a fair die, what is the probability that a number less that 3 occurs?
7. Three microprocessors are randomly selected from a lot of 500 microprocessors among which 10 are defective. Find the probability of the event A of obtaining no defective microprocessors.
8. In an ordinary deck of 52 cards consisting of four suits, how many poker hands contain 4 cards of one denomination?
Really appreciate it if you could help me out ! Details needed.
1.How many possible orderings of letters ABCDEFG are there? 2.How many strings of length 4 can be made using the letters...
7. Contains the letters AC together in any order. (3 points) An ordinary deck of 52 cards consists of four suits many (unordered there? (2 points) clubs, diamonds, hearts, spades, how ) four-cards poker hands, selected from an ordinary 52-card deck, are 8. 7. Contains the letters AC together in any order. (3 points) An ordinary deck of 52 cards consists of four suits many (unordered there? (2 points) clubs, diamonds, hearts, spades, how ) four-cards poker hands, selected from...
Can someone please answer this by Friday? A poker deck consists of cards ranked 2; 3; 4; 5; 6; 7; 8; 9; 10; J; Q;K;A (13 different ranks), each in four suits, for a total of 52 distinct cards. (a) What is the probability that a five-card poker hand drawn from a poker deck consists only of cards ranked 8; 9; 10; J; Q;K;A? (b) Find a probability of Three of a kind. This is, three cards of the same...
4. How many permutations of the letters ABCDEFG contain: a) the string GD? b) the string AFC? c) the strings GD and AFC?
Consider a regular deck of cards with 52 cards in total. (1) How many ways can we have a poker hand of 5 cards? (2) Four of a kind is a poker hand that contains all four cards of one rank and any other (unmatched) card. For example, 94 949 9♡ JA is a "four of a kind”. How many ways can we have "four of a kind" ? (3) In a poker hand of 5 cards, what's the probability...
4. Playing poker, you are dealt five cards from a deck of 52 playing cards. (Remember there are 4 suits (spades, hearts, diamonds, clubs) of 13 cards in each suit (A,K,Q,J,10,9,8,7,6,5,4,3,2).) What is the probability of being dealt at least one Ace in those first 5 cards? (without replacement) _________________ 5. Six books are randomly stacked on a desk. What is the probability that they will, by chance, be perfectly stacked in alphabetical order? ______________ 6. A group of 10...
1. In how many ways can four aces be drawn from a deck of cards? (Order is not important.) 2. If a family has six children, in how many ways could the parents have four boys and two girls? 3. Decide whether you would use a permutation, a combination, or neither. Next, write the solution using permutation notation or combination notation, if possible, and, finally, answer the question. 4. A club with 23 members is to select a committee of...
I have 4 questions dont know can anyone help me with any of it? ii) Consider the 11 letter word MATHEMATICS a) How many distinct words can be formed by rearranging its letters? b) How many 4 letter words can be formed using the letters in the word MATHEMATICS, using letters no more often than they appear in the word? ii) Consider the equation where xi, x2, 13, T4,5 and re are non-negative integers a) How many solutions are there...
Learning objectives 1. To implement decisions using if statements 2. To write statements using the boolean primitive data type. 3. To compare strings and/or characters. 4. To write loops using while or for. 5. To write functions Representing playing cards and hands of cards An individual playing card is represented as a string of two characters: • the first character is from "23456789TJQKA" and represents the rank, i.e., the number or value of the card. (Note that 10 is encoded...
[Discrete Math] The rank of a particular card drawn from a standard 52-card deck can be 2, 3,.., J, Q, K, A, while the possible suits are: spade, diamond, heart, and club. Consider 6-card hands dealt from a standard deck of 52 cards, the order in which the cards are dealt does not matter. How many hands contain 2 hearts and 4 spades?
Problem #1 A) A closed box has 5 molecules and is then partitioned instantaneously into 4 equally sized compartments. What is the probability of there being 4 particles in the top left compartment? B) Now imagine the same experiment as part A, but with 3 million molecules. What is the range of molecules that are in each partition 95% of the time?Hint: ±2 standard deviations is 95% of the normal distribution. Problem #2 The game of UC poker is similar...