Imagine that your ATM card had a 4 digit code, but you can only choose from 7 options, i.e. the numbers 1-7. The digits in your PIN can be repeated. How many different possible codes are there? If someone stole your ATM card, what is the probability of them guessing the correct code on the first try? Round your answer to 6 decimal places.

Q: In a particular lottery, 5 winning numbers are drawn from a set of 41 numbers. What is the…

A: We have to find the probability of picking exactly 2 of the winning numbers in this lottery

Q: An individual chooses a prime number that is less than 13. What is the probability that the number…

A: Here the individual chooses a prime number less than 13. Prime numbers less than 13 is given by…

Q: A lock consists of 3 dials, where each dial has 5 letters. What is the probability of guessing the…

A: Total number of dials in the lock is 3. Number of letters each dial have is 5.

Q: Teddy picked a 5-digit passcode for his phone, but has forgotten the last 3 numbers. What is the…

A: We have to find out given probability..

Q: There are four multiple-choice questions on an exam, each with five possible answers. (a) Determine…

A: It is given that there are 4 multiple-choice questions on exam, each with five possible answers.

Q: You wish to play three-number lottery with your favorite data 8,2, and 5. After a numbers drawn, the…

A:

Q: In the game of roulette, a player can place a $9 bet on the number 2 and have a 1/38 probability of…

A: Expected value: The expected value of a random variable is the sum of the possible values that the…

Q: In a lottery game, a player picks six numbers from 1 to 48. If 5 of the 6 numbers match those drawn,…

A:

Q: To play a certain board game, the players roll 3 six-sided number cubes. The probability that the…

A: Probability,p= 7/72 So q= 1-p= 1-(7/72)= 65/72  n= 648 X~ binomial (648,7/72)

Q: In a certain lottery, you must correctly select 4 numbers (in any order ) out of 33 to win. You…

A: Given,      In accertain lottery, you must correctly      select 4 numbers out of 33 to win i.e…

Q: In a bag of marbles, there are 12 green, 12 blue, and one red. Find the probability for each…

A: As per given by the question, there are 12 green, 12 blue, and one red marbles in a bag. Now, 1.…

Q: You think of a number from the first twenty positive integers. What is the probability that the…

A: Probability of an event = number of outcomes in favor of the event / Total number of outcomes in the…

Q: A can solve 80% of the problems given in Statistics book, B can solve 60%. What is the probability…

A: Given,P(A can solve the problem)=0.8P(B can solve the problem)=0.6

Q: If we have 2 dies with 6 faces - How many combinations? What is the probability of getting a 7?…

A: There are 2 dice with 6 faces each so the number of combinations is given by: Since one dice has 6…

Q: Suppose that Alan is taking a multiple choice quiz where there are 3 choices for each question.…

A: Binomial distribution:The binomial distribution gives the probability of number of successes out of…

Q: Suppose that 68% of people own dogs. If you pick two people at random, what is the probability that…

A: According to the provided information, 68% of people own dogs.

Q: Please answer math question

A: From 0-9 there are 10 digits  The first digit can come in 10 ways, second in 10 ways and third in 10…

Q: A drunken man who has n keys wants to open the door if his office. He tries the keys at random, one…

A: Given The total number of keys =n The unsuccessful keys are eliminated and one by one keys are tried…

Q: Suppose you ask a friend to randomly choose an integer between 1 and 10, inclusive.What is the…

A: Consider, A be the events that shows the number that are more than 2 and B be the event that depicts…

Q: A thief must randomly guess the correct 5 digit pin from a 8 key keypad. What's the probability he…

A: Here there are two possibilities 1) If repetition of number is allowed 2)if repetition of number is…

Q: Your college ID number consists of 8 digis.  Each digit can be 0 thru 9 and each digit cannot be…

A: The probability of getting your college ID number when randomly generating eight digits is 0.0000006…

Q: Suppose you ask a friend to randomly choose an integer between 1 and 10, inclusive.What is the…

A: From 1 to 10, there are total 10 integers.

Q: According to one study conducted at the University of Texas, 70% of all Americans can do routine…

A: Here we can use binomial distribution with probability of success is p and number of trials is n.…

Q: A lock consists of 2 dials, where each dial has 4 letters. What is the probability of guessing the…

A: Experiment : Guessing the combination Event: Guessing the right combination.

Q: A quiz consists of 10 multiple choice questions, each with 4 answer choices. If a student guesses on…

A: 1)Givensample size(n)=10p=14=0.25           (one correct option from 4 choices)Let "x" be that…

Q: You wish to play a three-number lottery with your favorite data 8, 2 and 5.  After a number is…

A: Given dataThere are 3 numbersRepetition is allowedWe are drawing a single number with replacement,…

Q: Suppose that in a particular game two dice are tossed. If the two dice sum to nine or eleven, the…

A: Total number of possible outcomes while tossing two coins =36 Total possible events for sum to nine…

Q: a. You are to choose two different numbers from 1 to 12. What is the probability of choosing the…

A:

Q: Suppose we want to pick two numbers from{1,2,3,....,100} randomly. What is the probability that the…

A: Modulo 5 = 0 are 20 Modulo 5 = 1 are 20 Modulo 5 = 2 are 20 Modulo 5 = 3 are 20 Modulo 5 = 4 are 20…

Q: The Probability and Statistics exam consists of 10 questions, each with 4 possible answers, of which…

A:

Q: Suppose you ask a friend to randomly choose an integer between 1 and 10, inclusive.What is the…

A:

Q: In a psychology class, there are 13 psychology majors and 12 non-psychology majors. 2 students are…

A: Concept of probability: Probability deals with the likelihood of occurrence of a given event. The…

Q: Logan, James, Andrew, and Eddie have a jelly bean collection. Together, they have 40 flavors. If…

A: Introduction: There are N = 40 flavors, from which, n = 4 flavors are to be chosen.

Q: What is the probability of a correct guess on the first try?

A: Total number of keys= 6 It is given that repetition is allowed. Thus, Total number of ways first…

Q: You think of a number from the first twenty negative integers. What is the probability that the…

A:

Q: what is the probability of randomly selecting an odd number from the numbers 1-15?

A:

Q: A pair of dice is rolled eight times. What is the probability of rolling 2's exactly 3 times?

A: Givena pair of dice  rolled 8 timesn=8p=136=0.028x~Binomial(n=8,p=0.028)

Q: What are the chances that a person who is murdered actually knew the murdered? The answer to this…

A: Given data, n=63 p=64% =0.64

Q: The probability of a number cube landing on 5 is 1/6.  If a number cube is tossed 72  times, how…

A: Given that: n=the number of trials=72 p=probability of landing on 5= 1/6   Each toss is independent…

Q: A thief must randomly guess a correct 5 digit code from a 8 key keypad. What's the probability of…

A: It is given that a thief must randomly guess a correct 5 digit code from 8 key keypad.

Q: In the Florida State Lottery, you can bet $1 by selecting 3 numbers from 0 through 9 inclusive. You…

A:

Q: You randomly choose 5 different songs in order from a playlist of 18 songs. What is the probability…

A:

Q: You think of a number from the first thirty negative integers. What is the probability that the…

A:

Q: What is the probability of a correct guess on the first try?

A: here total 10 key on pad and repetation is allowed.

Q: Find the probability of winning second prize (that is, picking five of the six winning numbers) with…

A:

Q: A Finite final consists of 40 multiple choice questions. If each question has 4 choices and 1 right…

A: X ~ B (n, p) Here n = 40, p = 1/4 = 0.25 The sample size is large therefore, the process will follow…

Q: From a group of 11 people, you randomly select 4 of them. What is the probability that they are the…

A: Given that from a group of 11 people, you randomly select 4 of them.

Q: A lock consists of 3 dials, where each dial has 4 letters. What is the probability of guessing the…

A: Each dial has 4 letters  So probability of getting the correct letter on each dial = 1/4

Q: The digits 1, 2, 3, 5, 7, and 8 are randomly arranged to form a six-digit number. What is he…

A: Given digits 1,2,3,5,7 and 8 Randomly arranging 6 digit number. We know that Probability = Number of…

Q: A Finite final consists of 50 multiple choice questions. If each question has 5 choices and 1 right…

A: The Binomial probability distribution is: PX=x=nxpx1-pn-x In the formula, n denotes the number of…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.