A thief steals an ATM card and must randomly guess the correct seven-digit pin code from a 4-key keypad. Repetition of digits is allowed. What is the probability of a correct guess on the first try? The number of possible codes is (Type an integer or fraction. Simplify your answer.)

Q: What is the probability of rolling a 3 on a number cube and choosing a heart from a deck of cards?

A: Recall:  P(A and B)=P(A∩B)=P(A)×P(B)

Q: If you know the names of the remaining five students in the spelling bee, what is the probability of…

A: To find: Probability of selecting the correct spelling bee order.

Q: When choosing 5 cards from a standard deck of cards, what is the probability you get exactly 3 card…

A:

Q: A new computer user creates a password consisting of one letter followed by a one-digit number (0 –…

A: Given data: The total number of digits is n=10. The total number of the alphabet is A=26.   The…

Q: What is the probability of rolling a 6 and then rolling a divisor of 6?

A:

Q: You pick a card at random. Without putting the first card back, you pick a second card at random.…

A:

Q: If you randomly select a letter from the phrase "That group class on Rumba was really fun," what is…

A: We have to select a letter from the phrase 'That group class on Rumba was really fun' and then find…

Q: A thief steals an ATM card and must randomly guess the correct three-digit pin code from a 9-key…

A: Make 3 digit pin from 9-key keypad with replcement.

Q: Determine the probability of flipping heads on a coin and rolling either a 2 or a 3 on a number…

A: Flipping heads on a coin and number on a cube are both independent events we need the probability of…

Q: After studying all night for a final exam, a bleary-eyed student randomly grabs 2 socks from a…

A: Given:Number of black socks=11Number of brown socks=10Number of blue socks=4The student randomly…

Q: If a standard six-sided is rolled, what is the probability of rolling an odd number

A: We have given that,  A standard Six-sided is rolled then the sample space (s) is,  s = {1, 2, 3, 4,…

Q: In the game of Sudoku, the correct answer is a 3×3 grid where each cell contains a unique…

A: Given that, In the game of Sudoku, the correct answer is a 3×3 grid where each cell contains a…

Q: If you randomly select a letter from the phrase "Mario Kart on the Wii is fun," what is the…

A: Introduction: Probability of an event is the number of outcomes favorable to the event, divided by…

Q: A thief steals an ATM card and must randomly guess the correct three-digit pin code from a 10-key…

A: It is 10-key keypad and hence it has 10 numbers.

Q: How many five-digit integers are divisible by 5? What is the probability that a five-digit integer…

A: In this question, concept of probability is applied. Probability The ratio of the number of…

Q: A thief steals an ATM card and must randomly guess the correct four-digit pin code from a 4-key…

A: The ATM card contains four-digit pin code. There are 4-key keypad.

Q: A thief steals an ATM card and must randomly guess the correct three-digit pin code from a 9-key…

A:

Q: If you know the names of the remaining nine students in the spelling bee, what is the probability of…

A: Here our goals is to find the total number of ways that the 9 student can be ordered.

Q: What is the probability that a 9-digit phone number contains at least one 3? (Repetition of numbers…

A: We know : All possible numbers = 10^9 Probability = favorable outcomes /total outcomes

Q: You pick a card at random. Without putting the first card back, you pick a second card at random.…

A: Given,no.of even nuber cards=2no.of odd number cards =2total no.of cards=4

Q: A jar initially contains 13 red marbles and 25 blue marbles. What is the probability of drawing a…

A:

Q: The results of a recent television survey of American TV households revealed that 90 out of every…

A:

Q: Judith runs a stable that boards 18 horses, and 9 of them are palomino. What is the experimental…

A:

Q: You pick a card at random. Without putting the first card back, you pick a second card at random.…

A:

Q: You pick a card at random. Without putting the first card back, you pick a second card at random.…

A: probability of picking a numbered card = number of a numbered card / total number of numbered cards

Q: When ten basketball players are about to have a free-throw competition, they often draw names out of…

A: Factorial of an integer:The factorial of an integer is the product of all positive integers less…

Q: If a number is to be selected at random from the integers 1 through 12, what is the probability that…

A: We have to find given probability.

Q: Find the probability of being dealt 5 cards from a standard 52-card deck, and the cards are a 6, 7,…

A: Five cards are being drawn from a standard 52-card deck to find that the cards are 6, 7, 8, 9, and…

Q: In the Math Club, 6 of the 22 girts are seniors, and 6 of the 19 boys are seniors, What is the…

A:

Q: A thief steals an ATM card and must randomly guess the correct five​-digit pin code from a 7​-key…

A: We have 5 digit pin and 7 choices per each digit of pin Because repetition is allowed, for each…

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 pick a card at random. Without putting the first card back, you pick a second card at random.…

A: Given numbers is1 , 2 , 3 , 4prime numbers= 2 , 3total number of cards=4

Q: On a roll of a die, what is the probability of landing a. Aneven number? b. An odd number? C. prime…

A: We have given that  Roll a die  Total number of outcomes=6 Sample space=S=(1,2,3,4,5,6) A=Even…

Q: A 10-sided fair die and a 20-sided fair die are rolled. What is the probability of showing a 5 on…

A: Solution: From the given information, a 10-sided fair die and a 20-sided fair die are rolled.

Q: Find the probability of a card being neither a spade nor a king  if drawing a single card from a…

A: Given : We have a standard 52-card deck. We have to find out the probability of a card being neither…

Q: Find the probability of being dealt 5 cards from a standard 52-card deck, and the cards are a 9, 10,…

A:

Q: hat is the probability of winning the second prize?

A: From provided information, a player picks five numbers from 1 to 48. If 4 of 5 match winning…

Q: In a small private school, 4 students are randomly selected from 14 available students What is the…

A: The following information has been given: The total number of students n=14 The number of selected…

Q: Suppose you draw a card from a well-shuffled deck of 52 cards. What is the probability of drawing a…

A: The word probability comes from the word probable, meaning 'likely but uncertain'. Thus the…

Q: Find the probability that a single randomly selected value is greater than 167.5. 0.5359

A: It is mentioned that the numbers should be accurate to at least 3 decimal places. The probability…

Q: In the multiple choice experiment with four possible choices, what is the probability that the test…

A: In MCQ, there are four choices for an answer.

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: What is the probability of winning a lottery in which you must choose 4 numbers from the numbers 1…

A: Since there is not any information on the order, we assuming that order is not important Now, We…

Q: If two cards are randomly drawn from a standard 52-card deck, what is the probability that both…

A: Given, Two cards are randomly drawn from a standard 52-card deck  We have to find the probability…

Q: In Pennsylvania Cash 5 lottery, winning the top prize requires that you select the correct five…

A: Given Information: To find out the probability of winning the top prize.

Q: If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the…

A:

Q: Suppose that a card is drawn from a well-shuffled deck of 52 cards. W a) Ajack b) An ace or a 7 c) A…

A:

Q: When choosing 5 cards from a standard deck of cards, what is the probability you get exactly 4 card…

A:

Q: The probability of winning the jackpot with one ticket is (Type an integer or a simplified…

A: Given The number of ways in which one can select all five numbers drawn from white balls (1 through…

Q: A thief steals an ATM card and must randomly guess the correct four-digit pin code from a 7-key…

A: The number of ways to fill n vacant places with any of the available r objects (with repetition),…

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.