The combinations on the lockers at the high school consist of three numbers, each ranging from 0-39
The Lockers Problem There is a well-known mathematical logic problem called the lockers problem. Here is a description of the problem 23 24 25 26 A new high school has just opened! There are 50 lockers in the school and they have been numbered from 1 through 50. When the school opens the first student to enter the school walks into the hallway and opens all the locker doors! Afterwards, the second student closes each door whose number is a...
License plates: In a certain state, license plates consist of three digits from 0 to 9 followed by three letters. Assume the numbers and letters are chosen at random. Replicates are allowed. Part: 0/3 a. How many different license plates can be made? b. How many different license plates can be made in which no letter or number appears more than once? c. A license plate is chosen at ranpom. What is the probability that no letter or number appears...
In Lotto 4-39, the lottery picks 4 numbers (without replacement) from 1 to 39. Before this drawing is done, you pick 4 numbers (without replacement) from 1 to 39. Find the probability that: a) None of my numbers are chosen B)exactly 2 are chosen For a) I figured out total number of possibilities 39C4, then I did 1/39C4 for the probability because I figured no numbers was just one possible combination. Where did I go wrong?
In a certain state, license plates consist of three letters followed by three numbers. 1. How many different license plates can be made if the letter and number carn repeat? (5pts) appears more than once? (5pts) number appears more than once? (5pts) 2. How many different license plates can be made in which no letter or number 3. A license plate is chosen at random. What is the probability that no letter or
A high school debate team of 4 is to be chosen from a class of 35. How many possible ways can the team be formed? Is this a combination or permutation problem? There are 47 contestants at a national dog show. How many different ways can contestants fill the first place, second place, and third place positions? Is this a combination or permutation problem? The Department of Commerce in a particular state has determined that the number of small businesses...
Suppose you have 4 combination locks, each with three spinners with digits 0-9. (so there are 1000 combinations 000-999) what is the probability that at least two of the locks have the same combination?
Problem 1 (35 points): Two numbers are chosen at random and simultaneously from among the numbers 1 to 4 without replacement. Let A,δΊ§(1,2,3,41, be the event that the first number is . 1. Find the probability of the event B that the second number chosen is 3. 2. What is the probability that the first number is 1 given that the second number is 3?
1. A State issues car license plates with three letters followed by three numbers (for example, FGH831 or BBB222). How many different license plates are possible? (Note that letters or numbers may repeat in the license plate. Hint: Use the Fundamental Counting Rule for this question.) There are five students who are interested in presenting their final project to the class, but there is only time for three presentations. The five students are Amy, Bob, Chun, Dan and Ed. 2....
3. A computer chooses 100 independent random numbers, each uniformly from the set of integers between 1 and 200. What is the expected value of: (a) The number of the chosen numbers which are multiples of 10
A State issues car license plates with three letters followed by three numbers (for example, FGH831 or BBB222). How many different license plates are possible? (Note that letters or numbers may repeat in the license plate. Hint: Use the Fundamental Counting Rule for this question.) There are five students who are interested in presenting their final project to the class, but there is only time for three presentations. The five students are Amy, Bob, Chun, Dan and Ed. List all...