If we are selected two digit from the digits 1, 2, 3, 4, 5, 6, 7 and 8 without replacement.
Then there are 8 possibilities for the first number and 7 possibilities for the second number.
By the multiplication principle of counting , there are 8*7= 56 possibilities for selecting the two digit number.
Hence, the number of element in sample space is 56.
19. DETAILS AUFEXC4 12.1.013.MI. Use the counting principle to determine the number of elements in the...
Please explain the counting principle within your explanation of this answer please. 20. [-14 Points] DETAILS AUFEXCE3 12.1.014. Use the counting principle to determine the number of elements in the sample space. Two digits are selected with replacement from the digits 1, 2, 3, 4, 5, and 6.
List the elements of the sample space defined by experiment. 1. a) Roll a single die and then toss a coin c) Toss two coins. 2. Use the counting principle to determine the number of elements in the sample space. Two digits are selected: a) With replacement from the digits 1, 2, 3, and 4 b) Without replacement from the digits 1, 2, 3, and 4. 3. Two-digit natural numbers are formed, with replacement, from the digits 0 through 9.How...
In Exercises 17 – 22, use the counting principle to determine the number of possible outcomes of each experiment. 17. Two digits are selected from the digits 1, 2, 3, 4, and 5, where the same digit can be used twice. 21. Four-digit telephone extensions are generated, where the first digit cannot be a 0, 1, 8, or 9.
1 When a pair of dice is thrown once the number of elements of the sample space equals a) 2x2 b) 2* 6 c) 6x6 d) 2 2. A group of tourists are offered 6 sightseeing tours on each of 3 days. A tourist ) can arrange to go on a sightseeing tour (a -s-a3,*) İn a) 2* ways b) 6 ways c) 3 x6 ways d) 3ơ ways 3. The number of ways in which we can select a...
In this assignment, you will use a Hashtable to determine the common elements in all the lists. If an element appears more than once in one or more lists, the algorithm should capture the instances the element is present in all the lists. You are given a code that implements a Hashtable as an array of linked lists. You are also given a main function that will create an array of Lists using the input variable values that you enter....
11.1 Section counting Homework: Section 11.1 Counting Score: 0 of 1 pt 8 of 8(6 compiete) 11.1.App1 Use the Fundamental Counting Principle: Tree Diagram apples to answer the question below Understand the Fundamental Counting Principle: Tree Diagrams An animation was used to help visualize a tree diagram and counting the total number of ways the three described things could happen. Which of the following is false about the appler? Choose the correct answer below O A. The fundamental counting principle...
Problem 6 Probability + Counting (3x 3 x 2 18 pts) An urn A coutains tem labeled balls whie each label containsa tumber, rangleg from 2.to 10. An urn B contains five labeled balls while the 1.2,to 5 (a) Two balls are drawn, one froan A and one from B. What is the sample space? What is the probability thst the sum of the labels on the balls is odd? What is the probahility that the sam of the labels...
[-14 Points] DETAILS DEVORESTAT9 5.E.005.MI. The number of customers waiting for gift-wrap service at a department store is an rv X with possible values 0, 1, 2, 3, 4 and corresponding probabilities 0.1, 0.2, 0.3, 0.25, 0.15. A randomly selected customer will have 1, 2, or 3 packages for wrapping with probabilities 0.5, 0.35, and 0.15, respectively. Let Y = the total number of packages to be wrapped for the customers waiting in line (assume that the number of packages...
2). a.b. A probability experiment is conducted in which the sample space of the experiment is S = {3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}, event F= {7, 8, 9, 10, 11, 12}, and event G = {11, 12, 13, 14). Assume that each outcome is equally likely. List the outcomes in F or G. Find P(F or G) by counting the number of outcomes in F or G. Determine P(F or G) using the...
Please use Logicly! Create a 4 bit sequential counter that is capable of counting up or down. You have to accept one input from user, deciding the direction that it counts in. The circuit change the operation from count up and count down without skipping numbers. Use no more than 4 flip flops in the circuit. If the input is count up, the circuit should count from 0 to 15, then restart from 0. If user input is count down,...